9652
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17920
- Proper Divisor Sum (Aliquot Sum)
- 8268
- 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
- 4536
- Möbius Function
- 0
- Radical
- 4826
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- 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
- Multiplicity of highest weight (or singular) vectors associated with character chi_85 of Monster module.at n=46A034473
- Number of 8k+5 primes (A007521) in range ]2^n,2^(n+1)].at n=18A095011
- a(n) = floor( (2n-1)!!/(2n) ).at n=6A104255
- a(n) = -1 + n + 4*n^2.at n=49A182868
- Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its two previous neighbors modulo (n+1).at n=8A207102
- Number of (n+1)X(2+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.at n=8A253692
- Numbers k such that k^2 + 1 = p*q*r*s where p,q,r,s are distinct primes and the sum p+q+r+s is a perfect square.at n=38A261530
- Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.at n=27A262508
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 51", based on the 5-celled von Neumann neighborhood.at n=23A270020
- Triangle, read by rows, where row n lists coefficients in Product_{k=1..n} (k + x + (n+1-k)*x^2), for n >= 0.at n=38A322229
- Triangle, read by rows, where row n lists coefficients in Product_{k=1..n} (k + x + (n+1-k)*x^2), for n >= 0.at n=46A322229
- Integers which can be written in exactly three ways as sum of two distinct nonzero pentagonal numbers.at n=6A333013
- Number of n-step walks from one of the vertices with degree 3 to itself on the four-vertex diamond graph.at n=11A344261
- Numbers that are the sum of seven fourth powers in exactly four ways.at n=41A345826