13379
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14184
- Proper Divisor Sum (Aliquot Sum)
- 805
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12576
- Möbius Function
- 1
- Radical
- 13379
- 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
- 45
- 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
- Numbers that are the sum of 4 nonzero 8th powers.at n=10A003382
- Numbers that are the sum of at most 4 nonzero 8th powers.at n=29A004877
- Numbers whose set of base-16 digits is {3,4}.at n=20A032840
- Smallest number > 1 equal to sum of n-th powers of its base-8 digits, or 0 if no such number exists (written in base 10).at n=7A033840
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 5).at n=57A035585
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,2,1,0.at n=4A037797
- Numerators of partial sums of Catalan numbers scaled by powers of -1/4.at n=7A120788
- a(n) = 9*n^2 - 8*n + 2.at n=39A154254
- Base 8 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-8 digits, for some k.at n=30A162231
- The maximum integer dimension in which the volume of the hypersphere of radius n remains larger than 1.at n=27A177677
- Number of nonempty subsets of {1, 2, ..., n} with <=7 pairwise coprime elements.at n=26A187268
- Maximum number of disjoint subgraphs of the Fibonacci cube Gamma(n) that are isomorphic to the hypercube of dimension k, summed over all k.at n=18A278137
- Number of n X 3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=6A299888
- Number of nX7 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=2A299892
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=38A299893
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=42A299893
- Numbers that are the sum of nine fourth powers in nine or more ways.at n=30A345593
- Numbers that are the sum of nine fourth powers in exactly nine ways.at n=25A345851
- Denominators of the convergents given by treating A391217 as continued fraction coefficients after the leading 0.at n=10A392259