13610
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24516
- Proper Divisor Sum (Aliquot Sum)
- 10906
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5440
- Möbius Function
- -1
- Radical
- 13610
- Omega Function (Ω)
- 3
- 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
- 63
- 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
- Coordination sequence for hexagonal close-packing.at n=36A007899
- Coordination sequence for alpha-Nd, Position Nd1.at n=36A009948
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=18A010023
- Base-9 palindromes that start with 2.at n=26A043029
- Concatenate first n triangular numbers.at n=3A078795
- A014486-encoding of binary trees whose left and right subtree are identical.at n=5A083939
- (p*q - 1)/2 where p and q are consecutive odd primes.at n=36A102770
- a(n) = round(10000*log(n/10)).at n=38A104077
- Number of 3-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=39A187508
- Numbers n such that n^9+9 and n^9-9 are prime.at n=13A239505
- Sum of squares of numbers less than n that do not divide n.at n=34A276984
- Expansion of Product_{i>=1, j>=1} (1 + x^(i*j*(j + 1)/2)).at n=41A327745
- Triangle read by rows: T(n,k) = arithmetic derivative of (1 + A002110(n) + A002110(k)), 1 <= k <= n, where A002110(n) is the n-th primorial number.at n=33A373845