7892
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13818
- Proper Divisor Sum (Aliquot Sum)
- 5926
- 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
- 3944
- Möbius Function
- 0
- Radical
- 3946
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 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
- a(n) is the position of cube of the n-th prime among the powers of primes (A000961).at n=13A024625
- Positions of cubes among the powers of primes (A000961).at n=21A024627
- Number of partitions of n into parts not of the form 25k, 25k+2 or 25k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 11 are greater than 1.at n=37A036001
- First position of n in continued fraction for Khinchin's constant.at n=47A054781
- a(n) is the smallest index m such that Sum_{k=2..m} 1/PrimePi(k) >= n, where PrimePi()=A000720().at n=35A074633
- Interprimes which are of the form s*prime, s=4.at n=32A075279
- Triangle read by rows: T(n,k) is number of Grand Motzkin paths of length n having k hills (i.e., ud's starting at level 0). (A Grand Motzkin path is a path in the half-plane x>=0, starting at (0,0), ending at (n,0) and consisting of steps u=(1,1), d=(1,-1) and h=(1,0).).at n=37A109191
- Row sums of A126277 = binomial transform of (1, 2, 2, 3, 4, 4, 4, ...)at n=11A124671
- 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, -1, 1), (0, 1, -1), (1, 0, -1), (1, 1, 0)}.at n=10A148282
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 11.at n=21A154084
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 11.at n=31A154084
- Number of 2 X 2 matrices M of positive integers such that permanent(M) < n.at n=39A212151
- Number of 5 X 5 0..n matrices with each 2 X 2 subblock idempotent.at n=37A224667
- a(n) = Sum_{i=0..n} digsum_5(i)^3, where digsum_5(i) = A053824(i).at n=55A231670
- Number of partitions of n having depth 1; see Comments.at n=33A237685
- Integers n such that A002110(n) is divisible by A098999(n).at n=32A264897
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood.at n=45A271812
- Number of ways to choose a multiset of strict partitions, or odd partitions, of odd numbers, whose weights sum to n.at n=24A300300
- Expansion of Product_{k>=1} ((1 + 4*x^k) / (1 - 4*x^k))^(1/2).at n=7A303392
- Number of self-avoiding walks on a 2-dimensional square lattice where the walk consists of steps with incrementing length from 1 to n.at n=8A334877