11314
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16974
- Proper Divisor Sum (Aliquot Sum)
- 5660
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5656
- Möbius Function
- 1
- Radical
- 11314
- Omega Function (Ω)
- 2
- 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
- 112
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=15A020398
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12.at n=7A031600
- Each permutation in the list A060117 converted to Site Swap notation, with "zero throws" (fixed elements) replaced with n, the length of siteswap.at n=27A060495
- Each permutation in the list A060118 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=31A060499
- Record entries in A065191.at n=48A065192
- Monotonically increasing sequence of least positive integers, a(1)=1, such that the self-convolution produces all squares.at n=23A087150
- Numbers in base 10 that are palindromic in bases 8 and 9.at n=14A099146
- a(n) = round(10000*log(n/10)).at n=30A104077
- Numbers k such that k + sigma(k) + sigma(sigma(k)) is a square.at n=31A116014
- Site series for first parallel moment of 4.8 (bathroom tile) lattice.at n=24A120558
- A monotonic doubly-fractal sequence. Erase the last (rightmost) digit of every integer: what is left is the sequence itself. The erased digits, one by one, form also the sequence itself.at n=36A127204
- Numbers that are 5-digit palindromes in at least two bases.at n=12A180454
- Number of (n+4)X6 0..1 matrices with each 5X5 subblock idempotent.at n=12A224684
- Number of nX4 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.at n=4A269085
- Number of nX5 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.at n=3A269086
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.at n=31A269089
- T(n,k)=Number of nXk binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two not more than once.at n=32A269089
- Expansion of Sum_{i>=1} x^(i^2) / (1 - Sum_{j>=1} x^(j^2))^2.at n=21A281704
- Expansion of Product_{k>=1} (1 + x^k)^binomial(k+4,5).at n=8A344100
- Expansion of e.g.f. exp(2*x) / (1 - 2*sinh(x)).at n=5A367887