13325
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18228
- Proper Divisor Sum (Aliquot Sum)
- 4903
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9600
- Möbius Function
- 0
- Radical
- 2665
- Omega Function (Ω)
- 4
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=25A002413
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=48A024312
- Numbers that are the sum of 2 nonzero squares in exactly 6 ways.at n=5A025289
- Numbers that are the sum of 2 nonzero squares in 5 or more ways.at n=8A025296
- Numbers that are the sum of 2 nonzero squares in 6 or more ways.at n=5A025297
- Numbers that are the sum of 2 distinct nonzero squares in exactly 6 ways.at n=5A025307
- Numbers that are the sum of 2 distinct nonzero squares in 5 or more ways.at n=7A025315
- Numbers that are the sum of 2 distinct nonzero squares in 6 or more ways.at n=5A025316
- Numbers k such that binomial(prime(k), k) is divisible by k^2.at n=36A081384
- Smallest integral ladder whose ends slide over the respective distances 1 and m=2*n+1 while slipping down along horizontal ground and vertical wall against which it leans.at n=4A094081
- n sets a new record for number of iterations to reach 1 in the juggler sequence problem.at n=16A094679
- Numbers m that are the hypotenuse of exactly 22 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 22 ways.at n=5A097103
- Structured disdyakis dodecahedral numbers (vertex structure 9).at n=12A100161
- Number of fusenes with 23 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=13A122097
- Primitive subsequence of A111105.at n=24A137559
- RMS values of the RMS numbers: a(n) is the root mean square of the divisors of A140480(n).at n=17A141812
- a(n) = 2809*n^2 - 4618*n + 1898.at n=2A157757
- a(n) is the smallest number whose English name has the letter "i" in the n-th position, or -1 if no such number exists.at n=35A164793
- 41 times triangular numbers.at n=25A195038
- Denominator of A010786(n+1) / A010786(n).at n=40A208450