13836
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32312
- Proper Divisor Sum (Aliquot Sum)
- 18476
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 6918
- Omega Function (Ω)
- 4
- 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
- 107
- 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
- Coordination sequence for MgNi2, Position Ni1.at n=29A009933
- Inverse Moebius transform of A000013 (starting at term 0).at n=19A054168
- Interprimes which are of the form s*prime, s=12.at n=34A075287
- Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes.at n=42A105720
- Integer part of Sum_{k>=0} Sum_{j=0..k} n^j*A107045(k,j)/A107046(k,j).at n=20A107055
- a(n) = 8*n^3 + n.at n=12A118465
- Expansion of c(x^2)*(1+x)/(1-x), c(x) the g.f. of A000108.at n=19A155051
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=15A192753
- Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differences.at n=34A200155
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x>y*z+1.at n=13A212054
- Zeroless numbers n whose digit product squared is equal to the digit product of n^2.at n=13A256115
- Expansion of Product_{n>0} ((1-x^n)/(1+x^n))^(n^4) in powers of x.at n=6A285991
- Number of nX5 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=5A299511
- Number of nX6 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=4A299512
- T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=49A299514
- T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.at n=50A299514
- Number of nX4 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.at n=8A304054
- Related to the set of Motzkin trees where all leaves are at the same unary height 2.at n=20A321572