13102
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 6554
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6550
- Möbius Function
- 1
- Radical
- 13102
- 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
- 138
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=7A025026
- Number of positive integers <= 2^n of form 3 x^2 + 7 y^2.at n=17A054164
- a(n) = sum of the first n lower twin primes.at n=35A086167
- Number of A095317-primes in range ]2^n,2^(n+1)].at n=19A095327
- Number of A095321-primes in range ]2^n,2^(n+1)].at n=19A095331
- Number of unordered rooted trees where each subtree from given node has the same number of nodes.at n=29A127524
- a(n) = ceiling(n^3/3).at n=34A131477
- Inverse binomial transform of A141425.at n=15A141532
- The first subdiagonal of the array of A141425 and its higher order differences.at n=14A141533
- 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, 0, 1), (-1, 1, 0), (0, 1, 1), (1, -1, 0), (1, 1, -1)}.at n=8A149066
- Triangle interpolating the binomial transform of the swinging factorial (A163865) with the swinging factorial (A056040).at n=45A163840
- The binomial transform of the swinging factorial (A056040).at n=9A163865
- Ordered forests of k increasing unordered trees on the vertex set {1,2,...,n} in which all outdegrees are <= 2.at n=29A185421
- Number of 2 X 2 matrices having all terms in {1,...,n} and determinant in [-n,n].at n=15A211069
- Number of (w,x,y,z) with all terms in {1,...,n} and 3*w = x+y+z.at n=34A212069
- Numbers such that Liouville's function (A002819) and the little omega analog to Liouville's function (A174863) are equal.at n=34A224987
- Number of permutations of {1..n} with fewer than 2 interior elements having values lying between the values of their neighbors.at n=8A226435
- T(n,k) = number of permutations of {1..n} with fewer than k interior elements having values lying between the values of their neighbors.at n=43A226441
- The 300-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=33A244804
- Number of length n arrays of permutations of 0..n-1 with each element moved by -7 to 7 places and with no two consecutive increases or two consecutive decreases.at n=8A263665