13072
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 27280
- Proper Divisor Sum (Aliquot Sum)
- 14208
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 1634
- Omega Function (Ω)
- 6
- 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
- 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
- Number of trees on n nodes with forbidden limbs.at n=17A014281
- Powers of sqrt(15) rounded up.at n=7A017951
- Powers of fourth root of 15 rounded up.at n=14A018089
- Numerators of continued fraction convergents to sqrt(955).at n=6A042848
- Smallest index i such that next_prime( 2*prime(i) ) - 2*prime(i) = 2n - 1.at n=37A074973
- a(n) = n*(9*n+2).at n=38A147296
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210860; see the Formula section.at n=30A210861
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+2x+3y>1.at n=15A211622
- Number of partitions of n with difference -10 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=51A242682
- a(n) = n*(3*n^2 + 3*n + 1).at n=16A249354
- a(n) = n*(n + 5)*(n + 10)/6.at n=38A264443
- Numbers which are representable as a sum of nineteen but no fewer consecutive nonnegative integers.at n=13A270303
- Number of connected, labeled, unrooted distance-hereditary graphs on n vertices.at n=5A277869
- Expansion of Product_{k>=0} (1 + (2*k + 1)*x^(2*k+1)).at n=31A282207
- a(n) = ((3*n + 1)^6 - 1)/9.at n=2A282232
- Sum of all the parts in the partitions of n into 5 squarefree parts.at n=43A308839