8792
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
- 16
- Divisor Sum
- 18960
- Proper Divisor Sum (Aliquot Sum)
- 10168
- 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
- 3744
- Möbius Function
- 0
- Radical
- 2198
- Omega Function (Ω)
- 5
- 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
- 34
- Smith Number
- yes
- 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
- Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure.at n=8A002912
- Coordination sequence for net formed by holes in D_4 lattice.at n=9A010079
- Numbers ending with '2' that are the difference of two positive cubes.at n=24A038857
- Numbers k such that k^512 + 1 is prime.at n=25A057465
- Number of partitions of n into sums of products.at n=25A066815
- Triangle T(n,k), read by rows, given by [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, ...] DELTA [1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] where DELTA is the operator defined in A084938.at n=40A089949
- Triangle T(n,k) read by rows: for n >=0 and n >= k >=0, the fraction of positive integers with exactly k of the first n primes as divisors is T(n,k)/A002110(n).at n=23A096294
- Lesser of a,b where n^2 = a^3 + b^3; a,b > 0 and gcd(a,b)=1. The greater of a,b is the corresponding term in A099533 and n, which is used to order this sequence, is the corresponding term in A099426.at n=42A099532
- a(n) = 4*n^3 + 4.at n=13A100214
- Number of compositions of n into 5 parts such that no two adjacent parts are equal.at n=19A106354
- Triangle T(n,k), 0<=k<=n, read by rows, given by [0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, ...] DELTA [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, ...] where DELTA is the operator defined in A084938.at n=41A111184
- a(n) = smallest exponent k such that the string "1 2 ... n" appears in the decimal expansion of 2^k.at n=6A171768
- Expansion of g.f. (3-4*x-sqrt(1-4*x^2))/(2*(1-2*x)^2).at n=11A182555
- Number of partitions of n containing at least one part m-10 if m is the largest part.at n=30A212550
- a(n) = floor(n/2)^3 - floor(n/3)^3.at n=46A213031
- a(n) = floor(n/2)^3 - floor(n/3)^3.at n=47A213031
- Principal diagonal of the convolution array A213844.at n=11A213845
- The number of orbits of 4-tuples of the dihedral group of order 2n acting on {1,2,...,n}.at n=25A236332
- Number of length n+5 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=9A256820
- Numbers n such that the decimal expansions of both n and n^2 have 2 as smallest digit and 9 as largest digit.at n=28A257485