8961
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12480
- Proper Divisor Sum (Aliquot Sum)
- 3519
- 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
- 5712
- Möbius Function
- -1
- Radical
- 8961
- Omega Function (Ω)
- 3
- 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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(0) = 1, a(n) = 31*n^2 + 2 for n>0.at n=17A010020
- a(n) = diagonal sum of left-justified array T given by A027052.at n=26A027069
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=26A031898
- 24-gonal numbers: a(n) = n*(11*n-10).at n=29A051876
- Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=31A051891
- Composite numbers m such that phi(m)*sigma(m) is divisible by m-1.at n=22A065149
- a(n) = n*(n^2+3*n-1)/3.at n=29A084990
- Convolution of sigma(n) with phi(n).at n=35A086733
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=25A088728
- Number of partitions of n with at most two even parts.at n=39A096778
- Number of partitions of n in which each odd part has odd multiplicity and each even part has even multiplicity.at n=53A102247
- Number of permutations of length n which avoid the patterns 1243, 2341, 4321.at n=12A116825
- Size of the BDD for the hidden weighted bit function, with the variables in their natural ordering.at n=23A136445
- a(n) = 9^n + 7^n - 1.at n=4A155656
- a(n) = 256*n + 1.at n=34A158231
- Number of ways to write n as the root-mean-square (RMS) of a set of distinct primes.at n=46A163974
- Numbers m such that A006218(m) is a perfect square.at n=29A175345
- 0-sequence of reduction of (2n-1) by x^2 -> x+1.at n=13A192304
- Calendar Problem #27, April 2012 Mathematics Teacher.at n=4A208646
- Unmatched value maps: number of n X n binary arrays indicating the locations of corresponding elements not equal to any king-move neighbor in a random 0..2 n X n array.at n=3A218818