13372
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 23408
- Proper Divisor Sum (Aliquot Sum)
- 10036
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6684
- Möbius Function
- 0
- Radical
- 6686
- Omega Function (Ω)
- 3
- 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
- no
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=36A020439
- McKay-Thompson series of class 20D for Monster.at n=48A058553
- Numbers k such that k^4 + 1, (k+2)^4 + 1 and (k+4)^4 + 1 are all primes.at n=15A073476
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=27A077096
- Number of partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts).at n=42A101707
- McKay-Thompson series of class 40B for the Monster group.at n=48A112179
- Conjectured smallest Sierpiński numbers of the second kind S, base b=2,3,4,5,..., where S*b^n+1 is composite for all n>=1 and gcd(S+1, b-1) = 1.at n=40A123159
- Generalized ballot transform of generalized Catalan numbers C(2;n)=A064062(n).at n=6A130649
- Triangle read by rows: T(n,k) is the number of connected directed multigraphs with loops and no vertex of degree 0, with n arcs and k vertices.at n=33A139621
- Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 8 and every element equal to at least one neighbor.at n=2A146294
- a(n) is the smallest number which has in its English name the letter "o" in the n-th position, or -1 if no such number exists.at n=37A164789
- Euler characteristic of relative homology of some varieties related to cluster algebras of type D.at n=5A211166
- Number of length n 1..(4+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal.at n=9A254214
- Number of (n+2) X (4+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.at n=40A255797
- The number of trees with 4 nodes labeled by positive integers, where each tree's label sum is n.at n=47A301739
- Number of ways to write n as an ordered sum of 6 nonprime numbers.at n=33A341483
- Numbers k such that k^5*2^k + 1 is a prime.at n=8A367421
- G.f. A(x) satisfies 2*x = Sum_{n=-oo..+oo} (-1)^n * x^(2*n) * (A(x) + x^n)^(2*n) with A(0) = 1.at n=7A380681