11392
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22950
- Proper Divisor Sum (Aliquot Sum)
- 11558
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- 0
- Radical
- 178
- Omega Function (Ω)
- 8
- 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
- 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
- Total number of fixed points in planted trees with n nodes.at n=16A005202
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=43A013935
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 2 (most significant digit on left).at n=37A029447
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 7 (most significant digit on right).at n=14A029500
- Triangle T(n,m) of number of labeled n-node T_0-hypergraphs with m distinct hyperedges (empty hyperedge included), m=0,1,...,2^n.at n=26A059084
- a(0) = 1, a(1) = 3; for n > 1, a(n) = 2*a(n-1) + 4*a(n-2).at n=8A063782
- Consider the family of multigraphs enriched by the species of parts. Sequence gives number of those multigraphs with n loops and edges.at n=4A098629
- Expansion of 1/sqrt(1-4x+4x^2-16x^3).at n=8A106186
- Left border of triangle A137629.at n=29A137631
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 01010-11111 pattern in any orientation.at n=10A147066
- Numbers m such that m^2 + 3^k is prime for k = 1, 2, 3.at n=21A177173
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=24A179664
- Number of partitions of n whose median is not a part.at n=42A238479
- Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=8A253390
- E.g.f. A(x) satisfies: Sum_{n>=0} 1/n! * exp(n^3*x)/A(x)^n = exp(1).at n=3A316986
- Infinitary Zumkeller numbers (A335197) whose set of infinitary divisors can be partitioned into two disjoint sets of equal sum in a single way.at n=32A335199
- Bi-unitary Zumkeller numbers (A335215) whose set of bi-unitary divisors can be partitioned into two disjoint sets of equal sum in a single way.at n=46A335217
- Numbers with the same number of cubefree divisors and 3-full divisors.at n=32A360906
- a(n) is the unique solution to A323410(x) = A362185(n).at n=5A362211
- Primitive terms of A116882: terms k of A116882 such that k/2 is not a term of A116882.at n=44A363121