5937
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7920
- Proper Divisor Sum (Aliquot Sum)
- 1983
- 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
- 3956
- Möbius Function
- 1
- Radical
- 5937
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- a(n) = floor(binomial(n,4)/4).at n=29A011850
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=12A020407
- Expansion of Molien series for 8-dimensional real Clifford group 2^{1+6}.Alt_8.2 of genus 3 and order 5160960.at n=43A024186
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=27A025219
- a(n) = (d(n)-r(n))/2, where d = A026057 and r is the periodic sequence with fundamental period (0,0,1,0).at n=34A026058
- Sequence satisfies T(a)=a, where T is defined below.at n=49A027592
- 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=32A031548
- Number of partitions of n into parts 3k and 3k+1 with at least one part of each type.at n=44A035618
- Numerators of continued fraction convergents to sqrt(248).at n=6A041464
- T(2n,n), array T as in A047120.at n=6A047129
- a(n) = a(n-1) + 2*(n-1)*a(n-2).at n=8A047974
- Becomes prime or 4 after exactly 9 iterations of f(x) = sum of prime factors of x.at n=2A048131
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=23A063352
- The smallest magic constant for n X n magic square with prime entries (regarding 1 as a prime).at n=10A073502
- a(n) = Sum_{i=n+1..2n} prime(i) - Sum_{i=1..n} prime(i).at n=33A077354
- Numbers n such that (14^n+1)^2-2 is prime.at n=14A100906
- a(n) = a(n-1) + a([n/2]) + 1, a(1) = 1.at n=43A102378
- Exponential Riordan array (e^(x(1+x)),x).at n=36A122832
- Numbers n such that sigma(2*phi(n)) = 2*sigma(n).at n=3A137733
- 9^n - 5^n + 1.at n=4A155642