5874
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
- 16
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 7086
- 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
- 1760
- Möbius Function
- 1
- Radical
- 5874
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=27A014818
- Numbers k such that in k and k^2 the parity of digits alternates.at n=29A030153
- Even numbers k such that in k^2 the parity of digits alternates.at n=46A030157
- 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 76.at n=7A031574
- Multiplicity of highest weight (or singular) vectors associated with character chi_24 of Monster module.at n=35A034412
- Expansion of sum ( q^n / product( 1-q^k, k=1..3*n), n=0..inf ).at n=26A035295
- Numbers having four 4's in base 5.at n=25A043368
- Numbers k such that phi(k) = phi(k - phi(k)).at n=29A051487
- Number of proper T_1-hypergraphs with 3 labeled nodes and n hyperedges.at n=12A056078
- Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction.at n=22A063436
- Numbers n for which there are exactly eight k such that n = k + reverse(k).at n=25A072432
- a(n) = n*(n+1)*(n+2)*(n+3)*(1+3*n+n^2)/120.at n=7A101094
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=27A108720
- Number of binary words whose (unique) decreasing Lyndon decomposition is into Lyndon words each with an odd number of 1's; EULER transform of A000048.at n=15A123916
- a(n) = Frobenius number for 3 successive primes = F[p(n), p(n+1), p(n+2)].at n=37A138989
- Number of partitions of n times number of divisors of n.at n=24A141667
- Triangle T(n,k) by rows: T(n, k) = (n-k+1)*T(n-1, k-1) + k*T(n-1, k) + T(n-2, k-1) with T(n, 1) = T(n, n) = 1.at n=30A144438
- Triangle T(n,k) by rows: T(n, k) = (n-k+1)*T(n-1, k-1) + k*T(n-1, k) + T(n-2, k-1) with T(n, 1) = T(n, n) = 1.at n=33A144438
- Diagonal sums of number triangle A113582.at n=21A154324
- Partial sums of round(n^2/5).at n=44A173690