11825
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
- 12
- Divisor Sum
- 16368
- Proper Divisor Sum (Aliquot Sum)
- 4543
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8400
- Möbius Function
- 0
- Radical
- 2365
- 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
- 81
- 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
- no
- Odd
- yes
Appears in sequences
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=42A003452
- Expansion of 1/((1-2x)(1+x^2)(1-x-2x^3)).at n=12A003477
- Numbers k such that k | sigma_6(k) + phi(k)^6.at n=16A055700
- Numbers k such that the Lucas Aurifeuillian primitive part A of Lucas(k) is prime.at n=46A061442
- a(n) = Sum_{i=1..n} Sum_{j=1..i} (prime(i) - prime(j)).at n=25A062020
- a(n) = (3^n + phi^(n-1) + (-phi)^(1-n)) / 5, where phi denotes the golden ratio A001622.at n=10A098703
- A Graham-Pollak-like sequence with cube root instead of square root.at n=35A100673
- Sums of three consecutive heptagonal numbers.at n=39A129111
- Expansion of (1+3*x)/(1-x^2-2*x^3).at n=22A159285
- a(n) = (2*n^3 + 5*n^2 - 3*n)/2.at n=21A162256
- a(n) = n*(13*n - 9)/2.at n=43A226488
- G.f.: x^(k^2)/(mul(1-x^(2*i),i=1..k)*mul(1+x^(2*r-1),r=1..oo)) with k=4.at n=52A246580
- Numbers k such that C(k+2,2) divides 2^(k+1) - 1.at n=16A246636
- Integers k such that Euler(k, 1) is an integer multiple of Bernoulli(k + 1, 1).at n=34A342320
- Smallest positive integer whose smallest coprime divisor shift is n.at n=13A366219
- Number of integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1).at n=37A384884