5392
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 10478
- Proper Divisor Sum (Aliquot Sum)
- 5086
- 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
- 2688
- Möbius Function
- 0
- Radical
- 674
- Omega Function (Ω)
- 5
- 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
- 116
- 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
- a(n) = 4^n + n^4.at n=6A001589
- a(n) = 6^n + n^6.at n=4A001594
- Numbers that are the sum of 2 positive 4th powers.at n=33A003336
- a(n) = round(1000*log_2(n)).at n=41A004266
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=42A004831
- Expansion of exp(x)/cos(tanh(x)).at n=9A009292
- Expansion of e.g.f. sin(x)/cosh(tan(x)) (odd powers only).at n=4A009559
- Numbers k such that k*(k + 9) is a palindrome.at n=12A028570
- Expansion of (theta_3(z)*theta_3(7z) + theta_2(z)*theta_2(7z))^4.at n=10A028596
- Trajectory of 1 under map n->9n+1 if n odd, n->n/2 if n even.at n=17A033962
- Trajectory of 3 under map n->9n+1 if n odd, n->n/2 if n even.at n=27A037102
- Sums of 4 distinct powers of 4.at n=33A038472
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=18A045032
- a(n) = n^(n+2) + (n+2)^n.at n=4A051489
- Initial pile sizes that guarantee a win for player 2 in a variant of Fibonacci Nim where the players may not take one stone.at n=36A052492
- Table T(m,k)=m^k+k^m (with 0^0 taken to be 1) as square array read by antidiagonals.at n=61A055652
- Table T(m,k)=m^k+k^m (with 0^0 taken to be 1) as square array read by antidiagonals.at n=59A055652
- Numbers k such that x^4 + y^4 = k * z^4 is solvable in nonzero integers x,y,z.at n=33A060387
- Numbers k such that k*2^m-1 are composites for all exponents m in the range 0<=m<=k.at n=21A061154
- a(n) = floor((1287/545)^n).at n=9A063636