5844
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13664
- Proper Divisor Sum (Aliquot Sum)
- 7820
- 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
- 1944
- Möbius Function
- 0
- Radical
- 2922
- 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
- 98
- 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 n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=34A001522
- Number of performances of n fragments in Stockhausen problem.at n=3A008271
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=33A015631
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=47A024809
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 50.at n=28A031548
- Numbers whose set of base-11 digits is {3,4}.at n=26A032835
- Number of days in n years (n=4 is the first leap year).at n=15A033171
- Number of days in n years (n=3 is the first leap year).at n=15A033172
- Number of days in n years (n=2 is the first leap year).at n=15A033173
- Number of days in n years (n=1 is the first leap year).at n=15A033174
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/11) starts with n.at n=20A034076
- Decimal part of a(n)^(1/11) starts with reversal of its integer part: first term of runs.at n=1A034317
- Numbers k such that 40*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A056681
- Numbers which are the sum of their proper divisors containing the digit 9.at n=17A059468
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=21A063372
- G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)*(1-x^16)).at n=44A088954
- Number of different triangles, squares and rectangles created when a square piece of paper is folded n times, the first time by a diagonal of the square and after by the median of the triangle.at n=8A096260
- Let [n] = {1,2,...,n}. Let G_n be the union of all closed line segments joining any two elements of [n] X [n] along a vertical or horizontal line, or along a line with slope +-1. Then a(n) = combined total of the number of (nondegenerate) triangles and rectangles for which all edges are subsets of G_n.at n=8A098921
- Number of triangles in an n X n grid of squares with diagonals.at n=12A100583
- Numbers n such that (14^n+1)^2-2 is prime.at n=13A100906