5644
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10584
- Proper Divisor Sum (Aliquot Sum)
- 4940
- 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
- 2624
- Möbius Function
- 0
- Radical
- 2822
- 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
- 36
- 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
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=39A002122
- Generalized Fibonacci numbers A_{n,2}.at n=28A006207
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=46A026062
- Number of partitions of n into parts not of the form 17k, 17k+5 or 17k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=32A035966
- 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).at n=34A051624
- Expansion of 1/(1 - 3*x^2 - x^3).at n=15A052931
- Consider all integer triples (i,j,k), j >= k>0, with i^3=binomial(j+2,3)+binomial(k+2,3), ordered by increasing i; sequence gives j values.at n=9A054209
- Number of partitions of n such that there is exactly one part which occurs twice, while all other parts occur only once.at n=47A090858
- Number of (s(0), s(1), ..., s(2n+1)) such that 0 < s(i) < 9 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n+1, s(0) = 1, s(2n+1) = 6.at n=6A094829
- Number of partitions of n into parts without powers of 2.at n=57A101417
- Indices of Glaisher-primes: values n such that the concatenation of the first n decimal digits of the Glaisher-Kinkelin constant is prime.at n=7A118420
- t(n)_n where t() = triangular numbers A000217.at n=32A122634
- a(n) = 8*n^2 - 7*n + 1.at n=27A125201
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+89)^2 = y^2.at n=8A129298
- G.f.: A(x) = Product_{n>=1} [ (1-x)^2*(1 + 2x + 3x^2 +...+ n*x^(n-1)) ].at n=27A129355
- Ulam's spiral (ESE spoke).at n=19A143855
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (0, 0, 1), (0, 1, 0), (1, -1, 0)}.at n=8A149864
- Convolution of A039599 with itself .at n=23A152038
- a(n) = n*(2*n^2 + 5*n + 1)/2.at n=16A162254
- Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p_1, p_2, p_3, p_4} = {-3,0,1,2}, n=3*r+p_i, and define a(-3)=1. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,1,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(2*cos(Pi/9)).at n=52A187495