5199
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6936
- Proper Divisor Sum (Aliquot Sum)
- 1737
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3464
- Möbius Function
- 1
- Radical
- 5199
- 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
- 147
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 10*3^k - 1 is prime.at n=37A005542
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LEV = Levyne Ca9[Al18Si36O108].50H2O starting with a T1 atom.at n=5A019026
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=23A024848
- 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 23.at n=27A031521
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 4).at n=38A035542
- Total number of prime parts in all partitions of n.at n=23A037032
- Floor of area of triangle with consecutive prime sides.at n=27A096377
- Least positive k such that k*n + 1 is a golden semiprime (A108540).at n=51A108200
- a(n) = A007290(n+2) - 1 = 2*C(n+2,3) - 1.at n=24A108766
- Second column of number triangle A110245.at n=41A110246
- Records in A111229.at n=27A111270
- Numbers m that divide the sum of cubes of the first m primes A098999(m).at n=4A122140
- Numbers that are not the sum of three positive squares or cubes (which can be a mix of squares and cubes).at n=44A135693
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, 0)}.at n=10A148057
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 1, 0), (1, 0, 1), (1, 1, -1)}.at n=7A150198
- a(n) = 200*n - 1.at n=25A157955
- a(n) = 400*n - 1.at n=12A158317
- a(n) = 52*n^2 - 1.at n=9A158640
- G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^(n(3n+1)/2).at n=6A177341
- a(1) = 73, a(n) = prime(a(n-1)) - 4*a(n-1).at n=9A179516