5208
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 10152
- 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
- 1440
- Möbius Function
- 0
- Radical
- 1302
- 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
- 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
- yes
- Odd
- no
Appears in sequences
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=42A000567
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=32A003294
- Coordination sequence T1 for Zeolite Code MFI.at n=46A008161
- Coordination sequence for MgNi2, Position Ni3.at n=18A009934
- Weight distribution of d=3 Hamming code of length 31.at n=5A010086
- Weight distribution of d=3 Hamming code of length 31.at n=26A010086
- Weight distribution of d=4 Hamming code of length 31.at n=13A010091
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=21A014642
- Weight distribution of [ 31,16,7 ] binary BCH and quadratic-residue codes.at n=20A028382
- Weight distribution of [ 31,16,7 ] binary BCH and quadratic-residue codes.at n=11A028382
- Weight distribution of [ 31,15,8 ] binary quadratic-residue code.at n=5A028383
- Least term in period of continued fraction for sqrt(n) is 6.at n=27A031430
- Positive numbers k such that (k+1)*(k+2)*(k+3)*(k+4)/(k+(k+1)+(k+2)+(k+3)+(k+4)) is an integer.at n=16A032795
- Numbers in which all pairs of consecutive base-5 digits differ by 2.at n=33A033083
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3.at n=5A037577
- Denominators of continued fraction convergents to sqrt(327).at n=3A041617
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=5A045247
- Let p1, p2 be first pair of consecutive primes with difference 2n; let p3, p4 be 2nd such pair; sequence gives "wadi" value p3-p1.at n=15A046728
- Starting from generation 5 add previous and next term yielding generation 6.at n=37A048452
- Numbers k such that phi(k)*d(k) is a multiple of sigma(k), where d(k) is the number of divisors of k.at n=25A050934