6436
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11270
- Proper Divisor Sum (Aliquot Sum)
- 4834
- 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
- 3216
- Möbius Function
- 0
- Radical
- 3218
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- Euler characteristics of polytopes.at n=15A006481
- Numbers n such that n is a substring of its square in base 3 (written in base 10).at n=23A018827
- Poincaré series [or Poincare series] for depths of roots in a certain root system.at n=18A019528
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=7A020433
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=35A024838
- 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 40.at n=35A031538
- Numbers whose maximal base-8 run length is 4.at n=17A037995
- Numbers having four 4's in base 6.at n=23A043388
- Numbers having four 4's in base 8.at n=1A043440
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x12^2 = n.at n=9A045853
- a(n) = (F(8*n+6) + F(8*n+1))/3, where F = A000045 (the Fibonacci sequence).at n=2A049677
- a(n) = binomial(n, floor(n/2)) + 1.at n=15A051920
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,0,2}.at n=33A080001
- Rewrite 0->100 in the binary expansion of n.at n=16A080303
- a(n) is the smallest nonprime k such that tau(k + n) = tau(k) + n , where tau(n) is the number of divisors of n (A000005).at n=43A099642
- Integers n such that 10^n-57 is prime.at n=16A108493
- Number of congruence classes (epimorphisms/vertex partitionings induced by graph endomorphisms) of undirected cycles of even length: |C(C_{2*n})|.at n=7A112849
- Let T(S,Q) be the sequence obtaining by starting with S and repeatedly reversing the digits and adding Q to get the next term. This is T(1016,5), the first S for which T(S,5) reaches a cycle of length 36.at n=13A118879
- Nondescending wiggly sums: number of sums adding to n in which terms alternately do not decrease and do not increase.at n=17A129852
- E.g.f. satisfies A(x) = exp(x*A(x^8/8!)).at n=13A143572