11583
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
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 20328
- Proper Divisor Sum (Aliquot Sum)
- 8745
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 429
- Omega Function (Ω)
- 6
- 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
- 112
- 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
- no
- Odd
- yes
Appears in sequences
- Degrees of irreducible representations of alternating group A_13.at n=47A003868
- Degrees of irreducible representations of symmetric group S_13.at n=85A003877
- Degrees of irreducible representations of symmetric group S_13.at n=84A003877
- a(n) = (n+1)*binomial(n+5, 5).at n=8A027810
- a(n) = 99*(n+1)*binomial(n+5,12).at n=1A027817
- Odd elements in the 5-Pascal triangle A028313 that are not 1.at n=52A028316
- Odd elements in the 5-Pascal triangle A028313 that are not 1.at n=51A028316
- Distinct odd elements in the 5-Pascal triangle A028313.at n=28A028319
- Elements to the right of the central elements of the 5-Pascal triangle A028313.at n=56A028323
- Elements to the right of the central elements of the 5-Pascal triangle A028313 that are not 1.at n=42A028324
- Odd elements to the right of the central elements of the 5-Pascal triangle A028313.at n=38A028325
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=38A029488
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=35A031898
- Values of A038005 ending in 3.at n=10A038013
- Number of nonnegative solutions of x1^2 + x2^2 + ... + x9^2 = n.at n=25A045851
- Odd numbers divisible by exactly 6 primes (counted with multiplicity).at n=39A046319
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^13 in powers of x.at n=9A047638
- a(n) = A028317(n)/2.at n=53A051472
- Duplicate of A027810.at n=8A051922
- a(n) = a(n-1) + 2*a(floor(n/2)) if n > 0, otherwise 1.at n=27A058039