9716
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19488
- Proper Divisor Sum (Aliquot Sum)
- 9772
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4152
- Möbius Function
- 0
- Radical
- 4858
- 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
- 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
- Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=36A035961
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=26A045613
- Numbers k such that 273*2^k-1 is prime.at n=38A050895
- Numbers k such that (k+3, k+5, k+17, k+257, k+65537) are all primes.at n=11A063799
- Number of positions that are exactly n moves from the starting position in the Pyramorphix puzzle.at n=5A079764
- Number of partitions of 2*n into distinct parts with exactly two odd parts.at n=32A096914
- Index k of the first occurrence of A019565(2n-1) as the smallest term that makes prime(k)-A019565(2n-1) prime.at n=23A103792
- Number of n X n arrays of squares of integers with every (n-2) X (n-2) subblock summing to 5 and every element equal to at least one neighbor.at n=2A146126
- Number of permutations of floor(i*7/5), i=0..n-1, with all sums of two and three adjacent terms respectively unique.at n=7A147929
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,1,0,2,2,0,0 for x=0,1,2,3,4,5,6.at n=4A197995
- Number of isomorphism classes of nanocones with 4 pentagons and a symmetric boundary of length n.at n=14A198015
- Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,2,2,1.at n=19A222109
- Number n such that the sum of its proper evil divisors (A001969) equals n.at n=14A230587
- Dimensions of the hypoplactic subalgebra of the Hopf algebra PML_1.at n=7A231496
- Number of (n+1) X (1+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).at n=3A234816
- Number of (n+1) X (4+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).at n=0A234819
- T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).at n=6A234823
- T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).at n=9A234823
- Expansion of (1 - 2*x^2)/(1 + x)^4. Third column of Riordan triangle A248156.at n=41A248159
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 401", based on the 5-celled von Neumann neighborhood.at n=49A271803