12663
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21760
- Proper Divisor Sum (Aliquot Sum)
- 9097
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7128
- Möbius Function
- 0
- Radical
- 1407
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- arctanh(exp(x)-cos(x))=x+2/2!*x^2+3/3!*x^3+24/4!*x^4+165/5!*x^5...at n=7A013318
- Differences between two positive cubes in exactly 2 ways.at n=10A014440
- Pisot sequence T(3,5).at n=21A020745
- Pisot sequence T(5,8), a(n) = floor(a(n-1)^2/a(n-2)).at n=20A020749
- Difference between two positive cubes in more than one way.at n=11A034179
- Numbers ending with '3' that are the difference of two positive cubes.at n=28A038858
- a(n) = (n+3)^3 - n^3.at n=35A038865
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=37A051347
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=38A057285
- Expansion of 1/((1-x)*(1-x-x^3)).at n=23A077868
- Triangle, read by rows, of coefficients in powers of e.g.f. for A100065 such that, for each row n>=0, Sum_{k=0..n} T(n,k)/k! = [exp(n)] (integer floor of e^n).at n=49A100064
- Row sums of triangle A142963.at n=5A142967
- a(n) = Sum_{k=1..n} k*sigma(k).at n=27A143128
- 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, 0), (0, 1, -1), (0, 1, 0), (1, -1, 1)}.at n=9A148431
- a(n) = 2*A010844(n) + 1.at n=5A161370
- Triangle read by rows: T(n,k) = 2*k*T(n-1,n-1) + 1 (n >= 0, 0 <= k <= n), with T(0,0) = 1.at n=22A161380
- Sum of all numbers from n to n-th prime.at n=37A161624
- Numbers n which are concatenations n=x//y such that x^2+y^3 is a multiple of n.at n=31A162464
- Partials sums of A001694.at n=45A174172
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+497)^2 = y^2.at n=19A207077