913
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1008
- Proper Divisor Sum (Aliquot Sum)
- 95
- 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
- 820
- Möbius Function
- 1
- Radical
- 913
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 129
- Smith Number
- yes
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
Names
- German
- neunhundertdreizehn· ordinal: neunhundertdreizehnste
- English
- nine hundred thirteen· ordinal: nine hundred thirteenth
- Spanish
- novecientos trece· ordinal: 913º
- French
- neuf cent treize· ordinal: neuf cent treizième
- Italian
- novecentotredici· ordinal: 913º
- Latin
- nongenti tredecim· ordinal: 913.
- Portuguese
- novecentos e treze· ordinal: 913º
Appears in sequences
- Numbers beginning with letter 'n' in English.at n=25A000981
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=54A001033
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=29A001305
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=58A001310
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=43A001996
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=30A002381
- Numbers that are the sum of 4 nonzero 4th powers.at n=45A003338
- a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.at n=12A004964
- Denominators of expansion of sinh x / sin x.at n=41A006656
- Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity).at n=44A006753
- Coordination sequence T3 for Zeolite Code EUO.at n=19A008098
- Number of strictly increasing addition chains of length n.at n=6A008933
- E.g.f.: exp(x + sinh(x)).at n=7A009283
- Duplicate of A008933.at n=6A010787
- a(n) = floor(n*(n-1)*(n-2)/24).at n=29A011842
- [ n(n-1)(n-2)(n-3)/13 ].at n=12A011923
- Numerator of the coefficient [x^(2n+1)] of the Taylor series arctan(cosec(x) - coth(x)).at n=3A013540
- Numbers k such that sigma(k) = sigma(k+10).at n=5A015880
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAU = Paulingite (K2,Ca,Na2)76[Al152Si520O1344] starting with a T5 atom.at n=4A019053
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=3A020371