10392
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26040
- Proper Divisor Sum (Aliquot Sum)
- 15648
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 2598
- Omega Function (Ω)
- 5
- 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
- 148
- 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
- If a, b in sequence, so is ab+8.at n=40A009331
- Engel expansion of zeta(4) = Pi^4/90 = Sum_{i>0} 1/i^4.at n=7A067912
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,4}.at n=25A079964
- Integer part of the area of consecutive prime sided isosceles triangles.at n=35A097442
- Numbers k such that 6*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=22A098088
- Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=26A102532
- Positive integers that are the difference between two double factorials.at n=51A111300
- E.g.f. A(x) satisfies: A(x) = 1 + x*exp(Integral A(x)^3 dx).at n=6A143923
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (0, 1, 1), (1, -1, -1)}.at n=11A148050
- Expansion of 1+(x/(1-5*x))*c(x/(1-5*x)) where c(x) is the g.f. of A000108.at n=6A154623
- a(n) = 1728*n + 24.at n=5A157325
- a(n) = 289*n^2 - 2*n.at n=5A158252
- Number of nondecreasing arrangements of 7 numbers x(i) in -(n+5)..(n+5) with the sum of sign(x(i))*x(i)^2 zero.at n=8A188007
- Ordered differences of double factorials.at n=47A204912
- Number of distinct lines passing through at least three points in a triangular grid of side n.at n=28A234248
- Trisection of A107926: The least number k such that there are primes p and q with p - q = 6*n+4, p + q = k, and p the least such prime >= k/2.at n=25A234956
- Smallest index k such that Fibonacci(k) contains Fibonacci(n) as a proper substring in decimal notation.at n=31A263400
- Coordination sequence for (3,3,7) tiling of hyperbolic plane.at n=18A265074
- A(n, k) is the n-th binomial transform of the Catalan sequence (A000108) evaluated at k. Array read by descending antidiagonals for n >= 0 and k >= 0.at n=60A271025
- a(n) is obtained by applying the map k -> composite(k) n times, starting at n.at n=28A280327