5239
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
- 6
- Divisor Sum
- 5856
- Proper Divisor Sum (Aliquot Sum)
- 617
- 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
- 4680
- Möbius Function
- 0
- Radical
- 403
- Omega Function (Ω)
- 3
- 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
- 103
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = n^2*(5*n-3)/2.at n=13A006597
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=27A027865
- Square root of A030693.at n=13A030694
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=26A045131
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=37A045897
- Palindromes in factorial base.at n=41A046807
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=32A048134
- A Diaconis-Mosteller approximation to the Birthday problem function.at n=26A050255
- a(n)^2 is a square whose digits occur with an equal minimum frequency of 2.at n=15A052049
- Number of (undirected) cycles in the n-th order antiprism graph.at n=4A077263
- Expansion of (1-x)^(-1)/(1+2*x^2+x^3).at n=26A077894
- Expansion of x^2/(1 - 2*x + 2*x^2 - x^3 - x^4).at n=27A113021
- Number of Fermat pseudoprimes to base 5 less than 10^n.at n=8A114247
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=12A117807
- Turan's upper bound on the number of triangles of a simplicial complex of dimension two for which every minimal non-face has three vertices.at n=39A140462
- Ulam's spiral (WSW spoke).at n=18A143854
- Numbers k such that k-+1 are divisible by exactly 5 primes, counted with multiplicity.at n=39A157485
- Positive numbers y such that y^2 is of the form x^2 + (x+31)^2 with integer x.at n=10A157646
- a(n) = 441*n^2 - 488*n + 135.at n=3A157730
- a(n) = n^2*(2*n + 5).at n=13A163683