9200
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 23064
- Proper Divisor Sum (Aliquot Sum)
- 13864
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3520
- Möbius Function
- 0
- Radical
- 230
- Omega Function (Ω)
- 7
- 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
- 47
- 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
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=45A003451
- E.g.f.: sinh(arcsin(x)+log(x+1))=2*x-1/2!*x^2+11/3!*x^3-30/4!*x^4+215/5!*x^5...at n=7A012904
- Alternating Engel expansion of Pi.at n=10A014014
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=45A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=45A024853
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=44A024854
- Theta series of 6-dimensional lattice of det 8.at n=38A029543
- Pierce expansion for 4 - Pi.at n=10A061233
- Numbers k such that the sum over the prime divisors of k equals the number of divisors of k.at n=36A069234
- Partial sums of first m composite numbers arising in A053781.at n=7A073262
- a(n) = (prime(n)+1)*n.at n=46A083726
- Group the natural numbers such that the sum of the terms of every group has a distinct prime signature not occurring earlier: (1), (2), (3, 4, 5), (6), (7, 8, 9), (10, 11, 12, 13, 14), (15, 16, 17), (18, 19, 20, 21)... Sequence contains the sum of the terms of groups.at n=37A086494
- a(n) = 16*(8*prime(n) + 7).at n=19A098823
- Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 9.at n=32A101243
- a(n) = 16*n*(n+2).at n=23A114444
- Ramanujan numbers (A000594) read mod 23^3.at n=32A126847
- Numbers with 30 divisors.at n=40A137493
- Integral quotients of products of consecutive composites divided by their sums: sums (divisors).at n=24A141091
- a(n) = A137576((N-1)/2) - N, where N = A001567(n).at n=38A141216
- The number of degree sequences with degree sum 2n representable by a non-separable graph (with multiple edges allowed).at n=21A147877