2013
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2976
- Proper Divisor Sum (Aliquot Sum)
- 963
- 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
- 2013
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 68
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=20A000338
- Associated Mersenne numbers.at n=20A001351
- Squares written in base 6.at n=21A001741
- Numbers k such that k, k+1 and k+2 have the same number of divisors.at n=38A005238
- Coordination sequence T4 for Zeolite Code AFR.at n=34A008022
- a(n) = prime(n)*(prime(n+1)-1)/2.at n=17A014303
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=25A015623
- Numbers k such that k + sum of its prime factors = (k+1) + sum of its prime factors.at n=13A020700
- Fibonacci sequence beginning 1, 22.at n=11A022392
- Coordination sequence T6 for Zeolite Code MWW.at n=30A024991
- a(n) = [ 2nd elementary symmetric function of {sqrt(k+1)} ], k = 1,2,...,n.at n=18A025219
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 28.at n=26A031526
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=22A033026
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=7A033167
- Divisors = 1 (mod 4) of Descartes's 198585576189.at n=32A033870
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=17A036462
- Positive numbers having the same set of digits in base 5 and base 10.at n=12A037433
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,0,1,3.at n=3A037722
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0,2.at n=4A037773
- Numbers k such that 1 and 3 occur juxtaposed in the base-10 representation of k but not of k-1.at n=39A043226