13284
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 35574
- Proper Divisor Sum (Aliquot Sum)
- 22290
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 246
- Omega Function (Ω)
- 7
- 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
- yes
- 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
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=27A045946
- McKay-Thompson series of class 27A for the Monster group.at n=31A058599
- a(n) = lcm(p-1, p+1) where p is the n-th prime.at n=37A084921
- 4 times hexagonal numbers: a(n) = 4*n*(2*n-1).at n=41A085250
- a(1)=1, a(n) = first index i (> a(n-1)), where A112046(i) gets a value distinct from any values A112046(1)..A112046(a(n-1)).at n=37A112051
- Row sums of triangle A120073 (denominator triangle for H atom spectrum).at n=7A120075
- Limit of reversed rows of triangle A126347, in which row sums equal Bell numbers (A000110).at n=22A126348
- Number of planar n X n X n binary triangular grids with mirror symmetry about one altitude with every one adjacent to exactly 1 other one.at n=10A153983
- Number of lines through at least 2 points of a 6 X n grid of points.at n=40A160846
- a(n) = n^2*(2*n + 5).at n=18A163683
- Expansion of a(q) / b(q) in powers of q where a(), b() are cubic AGM theta functions.at n=10A215690
- a(n) = (prime(n)^2 - 1)/2 for n >= 2.at n=36A216244
- Number of snarks of order 2n with automorphism group of order 2.at n=15A219746
- Number of partitions of n containing m(3) as a part, where m denotes multiplicity.at n=39A240488
- Number of partitions of n into divisors of n with at most one 1.at n=59A263432
- Numbers n such that the sum of the digits of the numbers from 0 to n is a square.at n=44A271626
- Least integer k such that the area of the triangle (prime(n), k, k+1) is an integer.at n=36A286328
- Least integer k such that k/Fibonacci(n) >= 3/4.at n=21A293632
- Number of nonisomorphic proper colorings of partition star graph using four colors.at n=59A297568
- Number of nX7 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.at n=15A304140