13057
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14256
- Proper Divisor Sum (Aliquot Sum)
- 1199
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11860
- Möbius Function
- 1
- Radical
- 13057
- 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
- 169
- 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
- Expansion of exp(x)*cos(log(1+x)).at n=9A009280
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=27A031830
- Sizes of successive balls in D_4 lattice.at n=36A046949
- Average of four successive primes squared, (prime(n)^2 + prime(n+1)^2 + prime(n+2)^2 + prime(n+3)^2)/4, n>=2.at n=26A075894
- Expansion of 1/Product_{ n >= 2, n not of the form 2^k-1 } (1 - x^n).at n=55A078657
- a(n) = n*(n^2+3*n-1)/3.at n=33A084990
- Odd winning positions in Fibonacci nim.at n=26A120904
- a(n) = number of conjugacy classes in PSL_4(prime(n)).at n=11A124681
- a(n) = 384*n + 1.at n=34A229853
- Indices of zeros in A268819.at n=53A269157
- Odd numbers k such that phi(k) and cototient(k) have the same prime signature.at n=15A280927
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 403", based on the 5-celled von Neumann neighborhood.at n=34A288018
- Expansion of Product_{k>=1} (1 + x^(k*(k+1)/2))^(k*(k+1)/2).at n=39A298850
- Number of partitions of n into at most 1^2 copy of 1, 2^2 copies of 2, 3^2 copies of 3, ... .at n=42A303944
- Number of series-reduced rooted trees whose leaves are non-singleton integer partitions whose multiset union is an integer partition of n.at n=13A320295
- Consecutive terms that appear more than once in A014237.at n=47A322155