7992
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 22800
- Proper Divisor Sum (Aliquot Sum)
- 14808
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2592
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of n-step self-avoiding walks on f.c.c. lattice from (0,0,0) to (1,1,2).at n=4A005544
- Theta series of direct sum of 4 copies of hexagonal lattice.at n=6A008655
- Differences between two positive cubes in exactly 2 ways.at n=6A014440
- Number of ordered quadruples of integers from [ 1..n ] with no global factor.at n=19A015634
- Number of 2's in n-th term of A006711.at n=35A022478
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=24A029720
- Numbers k such that k^2 is palindromic in base 11.at n=26A029996
- Graham-Sloane-type lower bound on the size of a ternary (n,3,4) constant-weight code.at n=27A030504
- Sums of distinct powers of 6.at n=40A033043
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=22A033688
- Difference between two positive cubes in more than one way.at n=7A034179
- Positive numbers having the same set of digits in base 2 and base 6.at n=36A037411
- Sums of 2 distinct powers of 6.at n=13A038478
- Gaps of 7 in sequence A038593 (lower terms).at n=24A038653
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=26A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=22A038857
- Numbers having four 0's in base 6.at n=20A043372
- 12 times triangular numbers.at n=36A049598
- T(n,k)=S(2n+2,n-1,k-1), 0<=k<=n, n >= 0, array S as in A050157.at n=33A050162
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=27A051347