15344
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 34224
- Proper Divisor Sum (Aliquot Sum)
- 18880
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6528
- Möbius Function
- 0
- Radical
- 1918
- Omega Function (Ω)
- 6
- 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
- 133
- 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
- Triangle T(n,k) of the number of strongly connected digraphs on n labeled nodes and with k arcs, k=0..n*(n-1).at n=39A057273
- Expansion of 1 - q * (psi(q^5) / psi(q))^2 in powers of q where psi() is a Ramanujan theta function.at n=28A138520
- a(n) = 512*n - 16.at n=29A157447
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+289)^2 = y^2.at n=12A207059
- Expansion of q * (psi(-q^5) / psi(-q))^2 in powers of q where psi() is a Ramanujan theta function.at n=27A210458
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n.at n=24A211140
- Expansion of 1 + q * (psi(-q^5) / psi(-q))^2 in powers of q where psi() is a Ramanujan theta function.at n=28A228864
- Sum of numbers in the n-th antidiagonal of the reciprocity array of 3.at n=39A259583
- Number of length n arrays of permutations of 0..n-1 with each element moved by -n to n places and every four consecutive elements having its maximum within 4 of its minimum.at n=19A263709
- Numbers k, the smallest of at least 4 consecutive numbers x, for which phi(x) <= phi(x+1).at n=46A295865
- Numbers k such that phi(k) < phi(k+1) < phi(k+2) < phi(k+3) where phi is the Euler totient function (A000010).at n=33A327880
- Number of ways to write n as an ordered sum of eight powers of 2.at n=46A342251
- Irregular triangle read by rows: T(n,k) is the number of arrangements of n labeled children with exactly k rounds; n >= 2, 1 <= k <= floor(n/2).at n=13A349280
- Numbers N such that N + the sum of the cubes of its digits is again a third power.at n=16A362953
- Table read by rows: T(n, k) = A124320(n + 1, k) * A132393(n, k).at n=23A368583