13412
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 13468
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5736
- Möbius Function
- 0
- Radical
- 6706
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- Bond percolation series for hexagonal lattice.at n=10A006809
- a(n) = Sum_{i=1..floor((n+1)/4)} a(2*i-1) * a(n-2*i+1), with a(1)=a(2)=1 and a(3)=4.at n=15A024727
- Number of partitions of n that do not contain 7 as a part.at n=36A027341
- Number of connected labeled graphs with n nodes and an odd number of edges.at n=5A054940
- Real part of (n + i)^5.at n=7A121672
- Positive numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers and x>y).at n=5A135791
- Numbers of the form x^5-10x^3*y^2+5x*y^4 (where x,y are integers).at n=18A135793
- Numbers m such that m and m+22 have the same sum of divisors.at n=40A172333
- Number n such that the sum of its proper evil divisors (A001969) equals n.at n=22A230587
- Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11.at n=29A254950
- Numbers n such that Bernoulli number B_{n} has denominator 870.at n=44A272185
- Numbers m such that there exists a j for which m = Sum_{k=1..j} (m mod k), where k runs through the largest j primes less than m.at n=31A274422
- a(n) = 54*n^2 - 26*n + 4 (n>=1).at n=15A304381
- Fourth Lie-Betti number of a path graph on n vertices.at n=20A362007
- Self-convolution square-root of A004381, where A004381(n) = binomial(8*n,n).at n=4A383965
- One third the number of solid partitions of n with 5 parts.at n=26A387998