8992
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17766
- Proper Divisor Sum (Aliquot Sum)
- 8774
- 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
- 4480
- Möbius Function
- 0
- Radical
- 562
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=38A028604
- a(n) = floor( exp(11/19)*n! ).at n=6A030867
- Increasing gaps among twin primes: size.at n=41A036063
- Numbers, not composed of the same digits, such that the geometric and arithmetic means of their decimal digits are integers.at n=39A067452
- Triangle: No(x, n) = (2*n/x)*No(x, n - 1) + (-n/(n - 2))*No( x, n - 2) + Ceiling[(2*(n - 1)/((n - 2)))*Sin[(n - 1)*Pi/2]]/x; weighted by 2*x^(n + 1).at n=38A137384
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=32A152995
- a(n) = 529*n - 1.at n=16A158365
- Numbers n such that sqrt(36*n+49) is prime.at n=34A168669
- n-th prime*8-7 is the square of a prime.at n=36A169583
- Expansion of 1/(1 - x - x^10 - x^19 + x^20).at n=55A175740
- Numerators in Ramanujan's asymptotic expansion of theta(n), defined by Sum_{k=0..n-1} n^k/k! + theta(n)*n^n/n! = exp(n)/2.at n=4A260306
- Number of binary strings of length n+6 such that the smallest number whose binary representation is not visible in the string is 6.at n=14A261442
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood.at n=24A270154
- Numbers n such that n = a*b and 2*n + 1 = c*d such that a + b = c + d.at n=49A270422
- E.g.f. A(x) satisfies: A( sqrt( A(x^2*exp(-2*x)) ) ) = x, where A(x) = Sum_{n>=1} a(n)*x^n/(n-1)!.at n=6A274276
- Number of n X 2 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=7A281982
- T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=37A281988
- T(n,k)=Number of nXk 0..1 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=43A281988
- Number of independent vertex sets in the n-helm graph.at n=9A287594
- p-INVERT of the positive integers, where p(S) = (1 - S^2)^3.at n=8A290927