5928
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
- 32
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 10872
- 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
- 1728
- Möbius Function
- 0
- Radical
- 1482
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 49
- 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
- High temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.at n=7A001407
- Denominators of Cauchy numbers of first type.at n=37A006233
- Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope).at n=13A008412
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=40A011892
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=38A033996
- Multiplicity of highest weight (or singular) vectors associated with character chi_57 of Monster module.at n=36A034445
- a(n) = n-th sept-factorial number divided by 5.at n=3A034832
- First differences give (essentially) A028242.at n=37A035107
- Expansion of (3+2*x^2)/(1-x)^4.at n=18A037236
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=46A050033
- (n - phi(n)) | sigma(n) for composite n not congruent to 2 (mod 4).at n=17A055164
- a(n) = Sum_{k = 1..n, gcd(k,n)=1} k*(n-k).at n=38A057789
- Numbers k such that sigma(x) = k has exactly 6 solutions.at n=24A060662
- Triangle associated with rooted trees with a degree constraint (A036765).at n=62A064580
- Multiples of 24 whose digits also sum to 24.at n=16A066270
- Numbers k such that k divides (prime(3*k) - prime(2*k)).at n=13A066893
- Engel expansion of sinh(1/2).at n=19A068379
- Numbers n such that sigma(n) = 4*(n-phi(n)).at n=6A068420
- Pair the natural numbers such that the n-th pair is (k, k+p(n)) where k is the smallest number not occurring earlier and p(n) is the n-th prime. (1, 3), (2, 5), (4, 9), (6, 13), (7, 18), (8, 21), (10, 27), (11, 30), (12, 35), (14, 43), ... This is the sequence of the product of the members of every pair.at n=29A075316
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=18A077257