7791
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12312
- Proper Divisor Sum (Aliquot Sum)
- 4521
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4368
- Möbius Function
- 0
- Radical
- 1113
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- no
- Odd
- yes
Appears in sequences
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=29A023541
- Molien series for full 8 X 8 Siegel modular group H_3 of order 371589120.at n=38A027633
- Expansion of Molien series for 8-dimensional complex Clifford group of genus 3 and order 743178240.at n=19A039946
- 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n-7)/2.at n=42A051682
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n.at n=45A057239
- Numbers n such that 7*3^n - 2 is prime.at n=29A058605
- Numbers k such that 2*3^k - 7 is prime.at n=25A059454
- CONTINUANT transform of {d(n)}, 1, 2, 2, 3, 2, 4, ... (A000005).at n=8A071108
- a(n) = (2*n^3 - n^2 - n + 2)/2.at n=20A081441
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k peaks at even height.at n=32A097892
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=31A102538
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=38A117807
- Triangle read by rows: T(n,k) is the number of permutations p of {1,2,...,n} such that the set {|p(i)-i|, i=1,2,...,n} has exactly k elements (1<=k<=n).at n=38A125183
- Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c^2+d^2)/2)).at n=28A134602
- Composite numbers such that the square root of the sum of squares of their prime factors (with multiplicity) is an integer.at n=37A134605
- Numbers such that the square root of the sum of squares of their prime factors is a nonprime integer.at n=29A134606
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (1, -1, 0), (1, 0, -1), (1, 0, 0)}.at n=8A148910
- a(n) = (4*n^3 - 12*n^2 + 14*n + 3)/3.at n=19A161703
- a(n) = 5*n^2 + 5*n - 9.at n=38A166150
- Cubes (n * n * n) in carryless arithmetic mod 10.at n=31A169885