13812
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 18444
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4600
- Möbius Function
- 0
- Radical
- 6906
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- Smith Number
- yes
- 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
- Numbers that appear exactly five times in A101402. (Also indices of fives in A101403.).at n=9A129117
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k UDDU's starting at level 1.at n=39A135328
- Numbers k such that Sum_{i=1..k} i^6 divides Product_{i=1..k} i^6.at n=12A166606
- Number of line segments connecting exactly 10 points in an n x n grid of points.at n=42A177726
- Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1.at n=37A209982
- The number of distinct (up to unitary similarity) *-subalgebras of the n X n complex matrices.at n=17A215925
- Smallest number that can be written in exactly n ways as sum of two quarter-squares.at n=18A240952
- E.g.f. satisfies: A(x) = exp(Integral(1+x*A(x)^4) dx), where the constant of integration is zero.at n=6A245266
- Triangle, read by rows, T(n,k) = k*Sum_{i=0..n-k} C(2*i+2*k,i)*C(n-i-1,k-1)/(i+k) for 1 <= k <= n.at n=37A257488
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 502", based on the 5-celled von Neumann neighborhood.at n=30A272579
- G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m)).at n=27A289485
- Numbers whose distance to the nearest cube equals the distance to the nearest product of 3 consecutive integers (three-dimensional oblong).at n=23A342873
- a(n) is the smallest number k such that A361929(k) = prime(n), or -1 if no such prime exists.at n=7A361931
- Consecutive internal states of the linear congruential pseudo-random number generator (7141*s + 54773) mod 259200 when started at 1.at n=7A385463