9952
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 9704
- 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
- 4960
- Möbius Function
- 0
- Radical
- 622
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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 partitions of at most n into at most 5 parts.at n=35A002622
- Coordination sequence for MgNi2, Position Ni2.at n=25A009932
- Floor((e/2)^n).at n=30A014213
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=40A026061
- Number of binary rooted trees with n nodes and height exactly 12.at n=18A036601
- 22-gonal numbers: a(n) = n*(10*n-9).at n=32A051874
- The least k such that A063994(k) = Product_{primes p dividing k} gcd(p-1, k-1) = n, or 0 if there's no such k.at n=30A064234
- Numbers in A086473 corresponding to the unique product of two numbers having the unique sum of A086533.at n=13A086860
- a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime.at n=28A101042
- A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.at n=28A101043
- Number of permutations of length n which avoid the patterns 321, 2143, 3124; or avoid the patterns 132, 2314, 4312, etc.at n=31A116731
- Even numbers k such that if a person is born in year k and lives not more than 100 years, then he never celebrates his prime birthday on a prime year.at n=4A124658
- Number of hypertrees with n labeled vertices: analog of A030019 when edges of size 1 are allowed (with no two equal edges).at n=5A134958
- a(n) = prime(n^2) - n^2.at n=36A141129
- 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), (0, -1, 1), (0, 1, -1), (0, 1, 0), (1, 0, 1)}.at n=7A150627
- Number of collinear point 5-tuples in an n X n .. X n 4-dimensional cubical grid.at n=5A178270
- Number of collinear point 5-tuples in a 6 X 6 X 6 X... n-dimensional cubic grid.at n=4A178296
- The first position of the first cycle of sequence {b_k}={b_k}(n) in A237671.at n=24A238019
- Numbers that are the largest value in the Collatz (3x+1) trajectories of exactly six initial values.at n=38A274467
- a(n) = Sum_{k=1..n} k^2*(floor(n/k) - 1).at n=51A279847