13107
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18576
- Proper Divisor Sum (Aliquot Sum)
- 5469
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8192
- Möbius Function
- -1
- Radical
- 13107
- 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
- 138
- 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
- Sierpiński's triangle (Pascal's triangle mod 2) converted to decimal.at n=13A001317
- Divisors of 2^16 - 1.at n=13A003527
- Divisors of 2^32 - 1 (for a(1) to a(31), the 31 regular polygons with an odd number of sides constructible with ruler and compass).at n=13A004729
- Expansion of (1-x)/(1-2*x+x^2-2*x^3).at n=15A007909
- Expansion of 1/((1-2*x)*(1+x^2)).at n=14A007910
- a(n) = 3*a(n-1) + 4*a(n-2), a(0) = 0, a(1) = 1.at n=8A015521
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=33A024598
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=32A025112
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=43A026064
- Numbers whose set of base-16 digits is {2,3}.at n=29A032816
- Numbers whose set of base-16 digits is {3,4}.at n=14A032840
- Numbers whose set of base-16 digits is {1,3}.at n=29A032923
- In A015922, not in A033553.at n=26A033554
- Bisection of A001317.at n=6A038192
- Number of degree-n irreducible polynomials over GF(2) with trace = 0 and subtrace = 0.at n=19A042980
- Number of degree-n irreducible polynomials over GF(2) with trace = 1 and subtrace = 0.at n=19A042981
- Number of degree-n irreducible polynomials over GF(2) with trace = 1 and subtrace = 1.at n=19A042982
- Every run length in base 2 is 2.at n=6A043291
- Numbers whose base-4 representation contains exactly three 0's and four 3's.at n=5A045080
- Odd values of n for which a regular n-gon can be constructed by compass and straightedge.at n=12A045544