15323
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 3877
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11880
- Möbius Function
- -1
- Radical
- 15323
- Omega Function (Ω)
- 3
- 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
- 146
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 25 (most significant digit on right and removing all least significant zeros before concatenation).at n=12A029542
- Minimum solution for tri-color tower of Hanoi, restricted so like colors can't be together.at n=11A055622
- a(2n) and a(2n+1) are side lengths of a Beentjes sequence of perfect squared rectangles, starting with a 33 X 32 rectangle.at n=4A067011
- Numbers m such that sigma(m+1)+sigma(m-1) = 5*phi(m).at n=15A067242
- Numbers k such that phi(k) divides (sigma(k+1) + sigma(k-1)).at n=40A067244
- Partial sums of A034953(n).at n=19A085739
- Floor of area of triangle with consecutive prime sides.at n=41A096377
- Indices of maximal gaps between consecutive nontrivial zeros of the Riemann zeta function.at n=16A208436
- Number of partitions of n where the difference between consecutive parts is at most 9.at n=36A238869
- Number of partitions of n with difference -10 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=38A242682
- Composite numbers k such that sigma(k + sigma(k)) = 2*sigma(k).at n=21A246858
- G.f.: (1-x)*(1-2*x-x^2-(1-x)*sqrt(1-2*x-3*x^2))/(2*x*(1-2*x-x^2)).at n=11A257596
- Sum of the squarefree parts of the partitions of n into 6 parts.at n=32A309481
- Numbers n such that N = n^3 is a twin rank (A002822: 6N +- 1 are twin primes).at n=43A326234
- Indices n of Riemann zeta zeros for successive records of the normalized delta defined as d(n) = (z(n+1)-z(n))*(log(z(n)/(2Pi))/(2Pi)) where z(n) is the imaginary part of the n-th Riemann zero.at n=19A329742
- Indices n of Riemann zeta zeros where the Riemann-Siegel Z function sets successive records of maximum absolute values abs(Z(t)) in the interval between the n-th and (n+1)-th zeros.at n=36A329823
- Number of normal patterns contiguously matched by compositions of n.at n=11A335457
- Construct a square spiral: a(n) is the sum of all adjacent terms a(k) in the spiral for k < n; a(1) = 0, a(2) = 1.at n=43A358429