11448
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
- 32
- Divisor Sum
- 32400
- Proper Divisor Sum (Aliquot Sum)
- 20952
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 318
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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
- Expansion of Molien series for 8-dimensional real Clifford group 2^{1+6}.Alt_8.2 of genus 3 and order 5160960.at n=48A024186
- Numbers n such that n | sigma_13(n).at n=23A055717
- Number of conjugacy classes in the group GL_2(K) when K is a finite field with q = p^m for a prime p and m >= 1.at n=37A060615
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=26A060664
- a(0)=1, a(n) = 8*n*(2*n-1).at n=27A067239
- Binomial transform of tribonacci numbers.at n=10A073357
- Composite numbers k such that (k+1)*sigma(k) is a perfect square.at n=8A073586
- Consider 3 X 3 X 3 Rubik cube, but only allow the <U, R> group to act; sequence gives number of positions that are exactly n moves from the start.at n=10A080628
- Numbers k such that 2k-1 divides 2^k-1.at n=12A081856
- Product of prime(n+1)-1 and prime(n)-1.at n=27A083553
- a(n) = (prime(n)-1)*(prime(n)+1).at n=27A084920
- Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.at n=25A088072
- Numbers with at least two 3s in their prime signature.at n=28A109399
- Numbers n such that sigma(n) and sigma(sigma(n)) are both perfect squares.at n=3A134263
- Nonsquarefree numbers such that n-1 is prime and n+1 is square.at n=26A146980
- Number of permutations of floor(i*9/7), i=0..n-1, with all sums of two adjacent terms unique.at n=7A147924
- Eight times hexagonal numbers: a(n) = 8*n*(2*n-1).at n=27A152750
- 3 times octagonal numbers: a(n) = 3*n*(3*n-2).at n=36A152751
- Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having three real roots, of which at least two are equal.at n=38A155192
- G.f.: A(x) = exp( Sum_{n>=1} A157313(n)*x^n/n ) = 1/Product_{n>=1} (1 - A157313(n-1)*x^n).at n=8A157314