5056
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 10160
- Proper Divisor Sum (Aliquot Sum)
- 5104
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 158
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- Generalized class numbers c_(n,1).at n=39A000233
- Number of points on surface of truncated tetrahedron: a(n) = 14*n^2 + 2 for n > 0, a(0)=1.at n=19A005905
- Coordination sequence T7 for Zeolite Code MTT.at n=43A008195
- Coordination sequence T7 for Zeolite Code MTT.at n=44A008195
- Expansion of e.g.f. sin(tan(x))*x/2 (even powers only).at n=2A009600
- Coordination sequence T1 for Zeolite Code -CHI.at n=45A009846
- a(n) = Sum_{k=1..n} floor(k^4/n).at n=11A014819
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=33A015628
- Expansion of g.f. 1/((1-x)*(1-6*x)*(1-7*x)*(1-10*x)).at n=3A023951
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=27A028604
- Numbers with 14 divisors.at n=22A030632
- Numbers k such that 151*2^k+1 is prime.at n=9A032425
- Multiplicity of highest weight (or singular) vectors associated with character chi_157 of Monster module.at n=39A034545
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=14A045083
- a(n) is the number of n-tosses having a run of 3 or more heads for a fair coin (i.e., probability is a(n)/2^n).at n=12A050231
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 9 skipped primes.at n=35A050776
- Expansion of 1/(1 - 2*x^3 - x^4).at n=29A052922
- A hierarchical sequence (S(W2{2}c) - see A059126).at n=8A059133
- Positions of the permutations which have the same rank in A055089 and A060118, i.e., the fixed points of permutations A060120 and A060127.at n=40A060133
- Triangle T(n,k) giving number of Dyck paths of length 2n with exactly k hills (0 <= k <= n).at n=56A065600