15386
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27018
- Proper Divisor Sum (Aliquot Sum)
- 11632
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6552
- Möbius Function
- 0
- Radical
- 2198
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 53
- 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
- Number of n X 3 binary matrices under row and column permutations and column complementations.at n=19A006381
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=25A008457
- Multiplicity of highest weight (or singular) vectors associated with character chi_47 of Monster module.at n=51A034435
- Number of staircase polygons of area n with 3 (staircase polygon) holes on square lattice (not allowing rotations).at n=5A057416
- a(n) = Sum_{d divides n} (-1)^(n/d+1)*d^3.at n=25A078307
- Triangle of numbers related to triangle A092083; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297, ...at n=33A092082
- a(n) is the smallest integer k such that the n-th (forward) difference of the partition sequence A000041 is positive from k onwards.at n=30A119712
- Maximal length of rook tour on an n X n+1 board.at n=27A152132
- Maximal length of rook tour on an n X n+3 board.at n=26A152134
- Total sum of nonprime parts in all partitions of n.at n=23A194545
- Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(prime(i), prime(j)) (A204118).at n=31A204119
- Even numbers k such that 6k+1, 12k+1, 18k+1, 36k+1 and 72k+1 are all primes.at n=10A206349
- Number of n X 5 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically.at n=6A209647
- Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically.at n=4A209654
- Numbers m such that 6m+1, 12m+1, 18m+1, 36m+1 and 72m+1 are all prime.at n=16A257035
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood.at n=34A270335
- Numerator of sigma_3(n)/sigma_2(n).at n=38A298754
- Expansion of Product_{k>=1} (1 - x^k*(1 - x))/(1 - x^k*(1 + x)).at n=18A307676
- With p = prime(n), a(n) is the least composite k such that A001414(k) = p and k+p is prime, or 0 if there is no such k.at n=39A346501
- Numbers m such that there exists at least one integer k < m where m^2 + 2 and k^2 + 2 have the same prime factors.at n=29A348889