9659
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 757
- 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
- 8904
- Möbius Function
- 1
- Radical
- 9659
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 166
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=30A004927
- a(n) = T(n,n-3), where T is the array in A026386.at n=25A026394
- Expansion of 1/((1-x)*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2*(1-x^5)*(1-x^6)).at n=26A045513
- Numbers n such that 241*2^n-1 is prime.at n=10A050879
- Positions at which powers of 2 occur in A057929. (Or -1 if it does not occur.)at n=20A057931
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=73A117807
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=85A119455
- Numbers k such that 2*k+1, 3*k+2 and 4*k+3 are primes.at n=40A126955
- Number of partitions of n^4 into n nonzero squares.at n=6A133104
- Odd composite numbers such that the sum of any two terms, plus 1, is composite.at n=38A133763
- Numbers k such that 2*k+1, 3*k+2, 4*k+3 and 5*k+4 are primes.at n=12A138700
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (-1, 0), (0, -1), (0, 1), (1, 1)}.at n=8A151427
- Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w<x+y.at n=26A182260
- Expansion of (1-x+19*x^3-3*x^4)/(1-x)^3.at n=36A195241
- Polylogarithm li(-n,-1/10) multiplied by (11^(n+1))/10.at n=5A213133
- (p^2 - 3)/2 for odd primes p.at n=32A243887
- Number of distinct hook length sets of partitions of n.at n=41A301512
- Triangle read by rows: T(n,k) is the number of embeddings on the sphere of 2-connected planar graphs with n nodes and k faces up to orientation preserving isomorphisms, n >= 3, k=2..2*n-4.at n=40A342059
- Discriminants of imaginary quadratic fields with class number 38 (negated).at n=25A351676
- a(n) = Sum_{k=0..floor(n/3)} k^(n-3*k).at n=17A352945