13485
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 9555
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 1
- Radical
- 13485
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into its divisors that are powers of primes (A000961) with at least one part of size 1.at n=79A014650
- a(n) = n*(n+1)*(n+2)/2.at n=29A027480
- Least term in period of continued fraction for sqrt(n) is 8.at n=32A031432
- a(n) = n*(2*n-1)*(2*n+1).at n=15A035328
- Distinct odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle.at n=34A046201
- a(n) is the least integer greater than a(n-1) such that a(n-1)*2^a(n) - 1 is prime, a(1) = 1.at n=20A046809
- Multiplicative closure of twin prime pair products (A037074).at n=20A074480
- Expansion of (1 + 4*x)/(1 + 7*x + 16*x^2).at n=7A087170
- Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes.at n=27A090833
- Numbers k such that 6*k+1, 6*k+7, 6*k+13, 6*k+19 are consecutive primes.at n=13A090839
- Expansion of 1/(1 - x + 4*x^2).at n=14A106853
- Numbers k such that k and 2*k, taken together are pandigital.at n=0A115922
- Primitive elements of A119432.at n=28A119433
- a(n) = n*(n^2 - 1)/2.at n=30A135503
- Number of permutations of 4 indistinguishable copies of 1..n arranged in a circle with exactly 4 adjacent element pairs in decreasing order.at n=2A151599
- 3 times 13-gonal (or tridecagonal) numbers: a(n) = 3*n*(11*n - 9)/2.at n=29A153875
- a(0)=1, a(n) = (3n-1)*3n*(3n+1)/2 for n>0.at n=10A157024
- a(n) = 16n^2 + n.at n=28A157474
- a(n) = 841*n^2 + 29.at n=4A158665
- Denominator of (n+3) / ((n+2) * (n+1) * n).at n=28A168061