# 8000 (number)

8000 (eight thousand) is the natural number following 7999 and preceding 8001.

 ← 7999 8000 8001 →
Cardinaleight thousand
Ordinal8000th
(eight thousandth)
Factorization26 × 53
Greek numeral,Η´
Roman numeralVMMM, or VIII
Unicode symbol(s)VMMM, vmmm, VIII, viii
Binary11111010000002
Ternary1012220223
Octal175008
Duodecimal476812

8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 113 + 123 + 133 + 143.

The fourteen tallest mountains on Earth, which exceed 8000 meters in height, are sometimes referred to as eight-thousanders.[1]

## Selected numbers in the range 8001–8999

### 8600 to 8699

• 8625 – enneagonal number
• 8646 – triangular number
• 8649 – 932, centered octagonal number
• 8658 - sum of the first four perfect numbers (6, 28, 496, 8128) and the product of the culturally significant 666 and 13
• 8663 – Sophie Germain prime
• 8693 – Sophie Germain prime
• 8695 – decagonal number
• 8699 – safe prime

### 8700 to 8799

• 8712 – smallest number that is divisible by its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros)
• 8713 – balanced prime
• 8719super-prime
• 8741 – Sophie Germain prime
• 8747 – safe prime, balanced prime, super-prime
• 8751perfect totient number[11]
• 8760 - the number of hours in a non-leap year; 365 × 24
• 8761super-prime
• 8778 – triangular number
• 8783 – safe prime
• 8784 - the number of hours in a leap year; 366 × 24

### 8800 to 8899

• 8801magic constant of n × n normal magic square and n-Queens Problem for n = 26.
• 8807super-prime, sum of eleven consecutive primes (761 + 769 + 773 + 787 + 797 + 809 + 811 + 821 + 823 + 827 + 829)
• 8819 – safe prime
• 8833 – 882 + 332
• 8836 – 942
• 8839 – sum of twenty-three consecutive primes (313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419 + 421 + 431 + 433 + 439 + 443 + 449)
• 8849super-prime
• 8855 – member of a Ruth-Aaron pair (first definition) with 8856
• 8856 – member of a Ruth-Aaron pair (first definition) with 8855

## References

1. ^ Voiland, Adam (16 December 2013). "The Eight-Thousanders". The Earth Observatory. NASA. Retrieved 12 September 2016.
2. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
3. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
4. ^ "Sloane's A005188 : Armstrong (or Plus Perfect, or narcissistic) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
5. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
6. ^ "Sloane's A050217 : Super-Poulet numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
7. ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
8. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
9. ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
10. ^ "Sloane's A000330 : Square pyramidal numbers". The On-LIne Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
11. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
12. ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.