11308
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21672
- Proper Divisor Sum (Aliquot Sum)
- 10364
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5120
- Möbius Function
- 0
- Radical
- 5654
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- a(n) = T(2n,n+1), where T is the array in A026148.at n=5A026161
- Schoenheim bound L_1(n,7,6).at n=15A036834
- Sequence arising in search for Legendre sequences.at n=14A039796
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=34A039840
- a(n) = Sum_{i=0..n} T(i,n-i) where T is A049627.at n=47A049628
- a(n) = floor(e^(n/3)).at n=27A214077
- Number of idempotent 4 X 4 0..n matrices of rank 1.at n=8A224526
- Numbers n such that Bernoulli number B_{n} has denominator 690.at n=14A272186
- Partial sums of A175046.at n=39A324127
- Number of polygon edges formed when connecting all 4n points on the perimeter of an n X n square by infinite lines.at n=5A345650
- Where ones occur in A349085. These correspond to rationals, 0 < p/q < 1, that have a unique solution, p/q = 1/v + 1/w + 1/x + 1/y + 1/z, 0 < v < w < x < y < z.at n=24A349098
- G.f.: Sum_{n=-oo..+oo} x^(n*(n+1)/2) * C(x)^(4*n-6), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=12A355864
- Number of integer partitions of n with a neighborless singleton.at n=35A356235