9760
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23436
- Proper Divisor Sum (Aliquot Sum)
- 13676
- 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
- 3840
- Möbius Function
- 0
- Radical
- 610
- Omega Function (Ω)
- 7
- 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
- 42
- Smith Number
- yes
- 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
- Fibonacci sequence beginning 0, 16.at n=15A022350
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 49.at n=23A031547
- Numbers whose base-3 representation contains exactly one 0 and no 2's.at n=32A044994
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=5A066531
- Duplicate of A099920.at n=16A099428
- a(n) = (n+1)*F(n), F(n) = Fibonacci numbers A000045.at n=15A099920
- n*(n-1)*(n^2-n+4)/6.at n=16A103290
- Coefficients of a generalized Jaco-Lucas polynomial (even indices) read by rows.at n=37A122076
- Product of n-th Fibonacci number and n-th Fibonacci number written backwards.at n=15A133022
- Positions of 11's in A131744.at n=5A133152
- Pairs (j, k) of numbers j<k such that phi(j) = phi(k), sigma(j) = sigma(k), d(j) = d(k).at n=36A134922
- a(n) = 250*n + 10.at n=38A154379
- a(n) = 5*(3*6^n + 2^n)/2.at n=4A154410
- Number of nondecreasing integer sequences of length 11 with sum zero and sum of absolute values 2n.at n=13A158145
- Triangular array: (1/2)*A193850.at n=42A193852
- Triangular array: (1/2)*A193851.at n=38A193853
- a(n) = n*(6*n+4).at n=40A202804
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210221; see the Formula section.at n=41A210599
- Number of (w,x,y,z) with all terms in {0,...,n} and 2w=max{w,x,y,z}-min{w,x,y,z}.at n=27A212757
- E.g.f. equals the series reversion of x - x^2*exp(2*x).at n=4A214688