13330
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25344
- Proper Divisor Sum (Aliquot Sum)
- 12014
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 1
- Radical
- 13330
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- a(0) = 1, a(n) = 17*n^2 + 2 for n>0.at n=28A010007
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A001950 (upper Wythoff sequence).at n=37A024864
- Numbers in which all pairs of consecutive base-6 digits differ by 3.at n=25A033077
- Numbers k such that 2^k + 7 is prime.at n=35A057195
- A class of polytopal spheres.at n=19A059736
- Let M = 2 X 2 matrix [ 1 2 / 5 4 ]; a(n) = (1,2) entry of M^n.at n=5A092165
- The sum of a triangular array made from a negative 6 fold permutation product with shifts up and down of {2,6}.at n=34A105162
- Numbers k such that the k-th triangular number contains only digits {1,5,8}.at n=11A119137
- Half the number of length n integer sequences with sum zero and sum of squares 2450.at n=3A157567
- Half the number of length n integer sequences with sum zero and sum of squares 2738.at n=3A157569
- Half the number of length n integer sequences with sum zero and sum of squares 3200.at n=3A157572
- Number of paths from (0,0) to (n+2,n) using only up and right steps and avoiding two or more consecutive moves up or three or more consecutive moves right.at n=42A177787
- Row sums of number triangle A185962.at n=25A185963
- a(n) = 14*n^2 - 4*n.at n=31A195023
- 100 written in base -n.at n=2A208090
- Number of partitions of n in which any two parts differ by at most 10.at n=37A218512
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 926", based on the 5-celled von Neumann neighborhood.at n=29A273778
- Sum of primes between 100*n and 100*n + 99.at n=9A276355
- a(n) = Sum_{d|n} sigma_3(d).at n=21A321140
- Sum of the smallest parts of the partitions of n into 10 parts.at n=47A326589