11456
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
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 22860
- Proper Divisor Sum (Aliquot Sum)
- 11404
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5696
- Möbius Function
- 0
- Radical
- 358
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Glaisher's function J(n) (18 squares version).at n=7A002613
- Number of n-dimensional space groups in largest crystal class.at n=4A005031
- a(n) = a(n-1)+a(n-4).at n=28A014097
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=29A031551
- Decimal part of a(n)^(1/3) starts with a 'nine digits' anagram.at n=3A034278
- Shifts left under transform T where Ta is a DCONV a.at n=14A038044
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=33A045083
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=18A045247
- Numbers k such that phi(x) = k has exactly 12 solutions.at n=36A060675
- Numbers k such that T(k) = T(A072522(k)) + T(A072522(k+1)), T(i) being the triangular numbers.at n=23A080824
- a(n) = prime(n)_prime(n).at n=27A122622
- {2n+1}_{2n+1}.at n=53A122643
- Expansion of 1/(1-x-x^2-x^10+x^12).at n=20A147659
- a(n) = 14*a(n-1) - 44*a(n-2) for n > 1; a(0) = 1, a(1) = 12.at n=4A163147
- a(n) = Sum_{k=0..n} A109613(k)*A005843(n-k).at n=32A171218
- Partial sums of A028388 good primes (version 2).at n=37A172166
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=30A175534
- Least numbers k for each base b >= 2 such that N = b^(2^n) + k is prime for 6 consecutive values from n = 0 to n = 5.at n=13A225492
- The number of binary pattern classes in the (2,n)-rectangular grid with 3 '1's and (2n-3) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=33A225972
- Smallest integer starting a group of exactly n consecutive untouchable numbers (A005114) with term differences of 2.at n=4A231965