11816
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25440
- Proper Divisor Sum (Aliquot Sum)
- 13624
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 2954
- 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
- 24
- 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
- Double partial sums of (n * its dyadic valuation).at n=41A090889
- Integer part of Gauss's Arithmetic-Geometric Mean M(2,n^3).at n=44A127764
- Sum of even divisors of Fibonacci(n).at n=20A193294
- Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(log(1+x)*m) = sum(n>=m, T(n,m) x^n*m!/n!).at n=21A202185
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210194; see the Formula section.at n=51A210193
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x=R, y<R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}.at n=10A212750
- Expansion of e.g.f. exp(x^2 * (exp(x) - 1)).at n=8A240989
- Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 3.at n=20A241648
- Triangle read by rows: T(n,k), n>=1, k>=1, in which column k lists the numbers of A210843 multiplied by A000330(k), and the first element of column k is in row A000217(k).at n=34A249120
- Numbers n such that Bernoulli number B_{n} has denominator 870.at n=36A272185
- Numbers k such that (94*10^k + 11)/3 is prime.at n=17A280019
- Numbers k such that (85*10^k + 473)/9 is prime.at n=20A283513
- Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(x^k * (exp(x) - 1)).at n=63A292892
- Number of even parts in the partitions of n into 8 parts.at n=40A309630
- Number of integer partitions of n such that the dual of the multiset partition obtained by factoring each part into prime numbers is a (strict) antichain, also called T_1 integer partitions.at n=36A326977
- Triangular array read by rows: row n shows the coefficients of this polynomial of degree n: p(x,n) = ((x+r)^n - (x+s)^n)/(r - s), where r = 3 and s = 2.at n=31A327316
- Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212).at n=42A328213
- Numbers whose base phi representation is symmetrical with respect to the radix point.at n=41A330672
- Positive numbers k such that k and k + 1 are both positive negabinary-Niven numbers (A331728) and -k and -(k + 1) are both negative negabinary-Niven numbers (A331819).at n=44A331829
- Sums of consecutive odd positive cubes.at n=42A338447