1300
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 3038
- Proper Divisor Sum (Aliquot Sum)
- 1738
- 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
- 480
- Möbius Function
- 0
- Radical
- 130
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- Numbers that are the sum of 2 squares in exactly 3 ways.at n=10A000443
- Sum of 5th powers: 0^5 + 1^5 + 2^5 + ... + n^5.at n=4A000539
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=29A001157
- a(n) = sigma_2(n): sum of squares of divisors of n.at n=34A001157
- a(n) = 1^n + 2^n + 3^n + 4^n.at n=5A001551
- Squares written in base 6.at n=18A001741
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=33A003219
- Numbers that are the sum of 4 positive 5th powers.at n=20A003349
- Numbers that are the sum of at most 4 positive 5th powers.at n=49A004844
- Record values in A005210.at n=39A005211
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=23A005993
- a(n) = n*(n+1)*(2*n+1)/3.at n=12A006331
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=43A006582
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=25A006584
- Discriminants of totally real cubic fields.at n=33A006832
- a(n) = floor(n^2/2).at n=51A007590
- Integers written in factorial base.at n=42A007623
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=11A007811
- Coordination sequence T3 for Zeolite Code LIO.at n=25A008131
- Coordination sequence T1 for Zeolite Code LOS.at n=25A008132