13930
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
- 16
- Divisor Sum
- 28800
- Proper Divisor Sum (Aliquot Sum)
- 14870
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- yes
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 1
- Radical
- 13930
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 32
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Weird numbers: abundant (A005101) but not pseudoperfect (A005835).at n=19A006037
- Expansion of 1/((1-5x)(1-9x)(1-10x)(1-11x)).at n=3A028196
- Integer part of log(n^n)^(1 + log(n)).at n=8A062477
- Unitary weird numbers: unitary abundant (A034683) but not unitary pseudoperfect (A293188).at n=16A064114
- Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square at mid-side.at n=19A089483
- Triangle read by rows: T(n,k) is the number of permutations of [n] with exactly k increasing runs of odd length.at n=40A097591
- Triangle read by rows: Characteristic polynomials of lower triangular Bell number matrix.at n=18A101908
- Overlay of Pell numbers: a(n)=A000129(n)+A000129(n-6).at n=12A131710
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 4 and 9.at n=14A136841
- Number of n X 5 binary arrays with all 1s connected, a path of 1s from top row to lower right corner, and no 1 having more than two 1s adjacent.at n=5A163698
- Number of n X 6 binary arrays with all 1s connected, a path of 1s from left column to lower right corner, and no 1 having more than two 1s adjacent.at n=4A163708
- Total number of parts that are partition numbers A000041 in all partitions of n.at n=25A183088
- Number of compositions of n with exactly six occurrences of the largest part.at n=17A243741
- Sum of divisors of the products of the smaller and larger parts of the partitions of n into two parts.at n=40A270528
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 457", based on the 5-celled von Neumann neighborhood.at n=27A272282
- Bi-unitary weird numbers: bi-unitary abundant numbers (A292982) that are not bi-unitary pseudoperfect (A292985).at n=21A292986
- Infinitary weird numbers: infinitary abundant numbers (A129656) that are not infinitary pseudoperfect numbers (A306983).at n=21A306984
- Number of permutations of [4n] with exactly 2n increasing runs of odd length.at n=2A308962
- Integers n such that the digit set of n^2 is {0,1,4,9}.at n=27A317579
- Nonexponential weird numbers: nonexponential abundant numbers (A348604) that are not equal to the sum of any subset of their nonexponential divisors.at n=14A348631