9560
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 12040
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3808
- Möbius Function
- 0
- Radical
- 2390
- Omega Function (Ω)
- 5
- 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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- Related to representation as sums of squares.at n=19A002292
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T6 atom.at n=12A019194
- a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3.at n=23A022876
- Numbers k such that A102489(k) is divisible by k.at n=36A032563
- Numerators of continued fraction convergents to sqrt(664).at n=6A042276
- Pentagonal numbers with even index.at n=40A049452
- T(2n+1,n), array T as in A054144.at n=6A054148
- Sequence of sums based on primes = 7 mod 8.at n=23A060108
- Sum of terms in n-th rows of triangle in A077159.at n=25A077162
- Row sums of A081964.at n=25A081966
- Triangle of counts of s-clusters in n X n (0,1)-matrices for s=0, 1, ....at n=15A086266
- Let A denote the sequence; A is equal to the union of the self-convolutions A^2 and A^3, with terms in ascending order by size.at n=29A090845
- An Alexander sequence for the knot 7_7.at n=13A099452
- a(1) = 1; a(n) = sum of previous terms a(k) such that a(k) + n is prime.at n=54A108867
- Pentagonal numbers (A000326) whose digit reversal is a prime.at n=12A115707
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=33A117710
- Pentagonal numbers divisible by 5.at n=32A117793
- Number of 3-Carlitz compositions of n (or, more generally p-Carlitz compositions, p > 1), i.e., words b_1^{i_1}b_2^{i_2}...b_k^{i_k} such that the b_j's and i_j's are positive integers for which Sum_{j=1..k} i_j * b_j = n and, for all j, i_j < p and if b_j = b_(j+1) then i_j + i_(j+1) is not equal to p.at n=13A129922
- Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers.at n=17A136117
- Partial sums of ceiling(Fibonacci(n)/3).at n=21A179041