13320
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 44460
- Proper Divisor Sum (Aliquot Sum)
- 31140
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 1110
- Omega Function (Ω)
- 7
- 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
- 182
- 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
- a(n) = (11*n+1)*(11*n+10).at n=10A001536
- a(n) = n*(5*n^2 - 2)/3.at n=20A004466
- From a Fibonacci-like differential equation.at n=7A005445
- Theta series of A_9 lattice.at n=4A008449
- Theta series of extremal 3-modular even lattice in dimension 30.at n=3A034625
- Positive numbers having the same set of digits in base 8 and base 10.at n=42A037442
- Denominators of continued fraction convergents to sqrt(213).at n=11A041397
- a(n) = Sum_{k=1..n} T(n,k), array T as in A049790.at n=33A049791
- Numbers k such that sigma (x) = k has exactly 11 solutions.at n=16A060678
- Bessel polynomial {y_n}''(3).at n=4A065947
- First differences of A069475, successive differences of (n+1)^6-n^6.at n=16A069476
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=43A078667
- Irreducible polynomial coefficient of singular value associated with sqrt(2n).at n=23A078878
- a(n) = (4n^2+2n+1) * n!.at n=5A082035
- A square array of quadratic-factorial numbers, read by antidiagonals.at n=33A082038
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=40A090784
- Numbers whose set of base 11 digits is {0,A}, where A base 11 = 10 base 10.at n=9A097257
- Determinants of 4 X 4 matrices of 16 consecutive primes.at n=19A118799
- Numbers k such that 13^k - 2 is a prime.at n=15A128457
- Numbers n where either n or n+1 is divisible by the numbers from 1 to 12.at n=2A131662