11613
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18240
- Proper Divisor Sum (Aliquot Sum)
- 6627
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6552
- Möbius Function
- 0
- Radical
- 1659
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 143
- 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
- Number of ordered 5-tuples of integers from [ 1,n ] with no common factors among pairs.at n=30A015663
- a(n) = binomial(n+2,2) + binomial(n+3,3) + binomial(n+4,4) + binomial(n+5,5).at n=13A027659
- Row sums of triangle A054453.at n=13A054455
- McKay-Thompson series of class 28A for Monster.at n=31A058606
- a(1) = 3; a(n) = smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=40A083993
- Odd numbers n such that there exists a solution to lcm(s,z-s) = n, lcm(t,z-t) = n-2 and 0 < s+t < z < n.at n=38A108157
- a(1)=3; a(n)=floor((20+sum(a(1) to a(n-1)))/6).at n=54A120180
- A convolution triangle of numbers obtained from A036224.at n=42A132166
- Numbers k such that 64*k^6 + 1091 is prime.at n=14A155809
- Number of subsets of {1, 2, ..., n} containing n and having <=6 pairwise coprime elements.at n=30A186990
- Number of (w,x,y,z) with all terms in {1,...,n} and w=x+2y+3z-n.at n=42A212254
- Number of idempotent 3 X 3 0..n matrices of rank 2.at n=42A224334
- Number of partitions of n for which (number of occurrences of the least part) < (number of occurrences of greatest part).at n=53A236545
- Number of partitions of n such that the multiplicity of the number of parts is a part.at n=47A240499
- Expansion of x^3*(1-2x-x^2-x^3+x^4+x^5)/((1+x)*(1-3x+x^2-x^3+3x^4)).at n=16A248091
- Nonsquare positive integers k such that k = a*b = c*m + b and b^2 = a*m + c where m > 1, 0 < a, b, c < m.at n=4A347168
- Numbers that can be represented in more than one way as p^2+p*q+q^2 with p and q primes, p<=q.at n=9A349987
- Number of polyominoes of 2n cells with both diagonal symmetries, for which the 180-degree rotational symmetry has an axis that coincides with a vertex of a square, but without 90-degree rotational symmetry.at n=18A351160