11043
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16400
- Proper Divisor Sum (Aliquot Sum)
- 5357
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7344
- Möbius Function
- 0
- Radical
- 1227
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 130
- 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 triples (i,j,k) with |i| + |j| + |k| <= n and gcd(i,j,k) <= 1.at n=21A100450
- Molien series for a certain 16-dimensional group of order 10321920.at n=12A105319
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 2,1 3,2 3,3 4,3 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155381
- Numbers n with property that there is a different number m such that the lunar squares n*n and m*m are the same.at n=29A181319
- G.f. satisfies: A(A(x)) = Sum_{n>=1} a(n)*x^n / (1 - n*x)^n, where g.f. A(x) = Sum_{n>=1} a(n)*x^n.at n=5A193210
- Number of partitions of n such that the number of parts is not divisible by the greatest part.at n=33A200727
- Number of length 4 1..(n+2) arrays with no leading or trailing partial sum equal to a prime.at n=16A254207
- Number of simple connected graphs with n nodes rooted at one oriented edge.at n=6A304072
- Sum of the second largest parts in the partitions of n into 5 parts.at n=40A308826
- Numbers k such that 341*2^k+1 is prime.at n=20A322963
- G.f. A(x) satisfies: A(x) = x + x^2 * exp(A(x) + A(-x^2)/2 + A(x^3)/3 + A(-x^4)/4 + ...).at n=19A345235
- Numbers that are the sum of eight fourth powers in seven or more ways.at n=10A345582
- Numbers that are the sum of eight fourth powers in exactly seven ways.at n=10A345839
- Numbers k which are the product of a cube greater than 1 and a prime, and where k-1 and k-2 are semiprimes.at n=27A350284
- a(n) = number of isogeny classes of p-divisible groups of abelian varieties of dimension n over an algebraically closed field of characteristic p (for any fixed prime p).at n=24A361721
- Index where n first appears in A381597.at n=27A381599