1313
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1428
- Proper Divisor Sum (Aliquot Sum)
- 115
- 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
- 1200
- Möbius Function
- 1
- Radical
- 1313
- Omega Function (Ω)
- 2
- 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
- 26
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=40A002382
- Numbers which are the sum of 3 nonzero 4th powers.at n=33A003337
- Sums of distinct nonzero 4th powers.at n=34A003999
- Number of unlabeled identity interval graphs with n nodes.at n=8A005216
- a(n) = floor( phi*a(n-1) ) + floor( phi*a(n-2) ), where phi is the golden ratio.at n=11A005908
- a(n) = Sum_{i=0..n} (n!/(n-i)!)^2.at n=4A006040
- Generalized Lucas numbers.at n=9A006493
- a(2n-1) = n*a(2n-2), a(2n) = n*a(2n-1) + 1.at n=7A007876
- Noncubes such that some permutation of digits is a cube.at n=45A007940
- Coordination sequence T3 for Zeolite Code AET.at n=25A008009
- Coordination sequence T1 for Zeolite Code AFI.at n=25A008014
- Coordination sequence T2 for Zeolite Code APD.at n=24A008035
- Coordination sequence T3 for Zeolite Code EPI.at n=23A008092
- Coordination sequence T5 for Zeolite Code -CLO.at n=32A009854
- Numbers k such that the continued fraction for sqrt(k) has period 3.at n=7A013643
- Continued fraction for log(90).at n=2A016518
- Expansion of 1/(1-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13).at n=34A017844
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T4 atom.at n=10A019172
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=12A020338
- a(n) = a(n-1) + c(n) for n >= 3, a( ) increasing, given a(1)=1 a(2)=6; where c( ) is complement of a( ).at n=45A022949