13617
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21060
- Proper Divisor Sum (Aliquot Sum)
- 7443
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8448
- Möbius Function
- 0
- Radical
- 4539
- 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
- a(n) = 10000*log_10(n) rounded down.at n=22A004228
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=22A004229
- Pseudoprimes to base 55.at n=40A020183
- a(n) = 11^n - n^5.at n=4A024132
- a(n) = (1/3!)*(n^3 + 24*n^2 + 107*n + 90), compare A059604.at n=36A059605
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 19 (most significant digit on right).at n=22A061972
- Positive numbers whose product of digits is 7 times their sum.at n=38A062384
- Sum of first n 5-almost primes.at n=41A086047
- Convolution of primes with partition numbers.at n=17A086717
- A lower diagonal of pendular trinomial triangle A119369.at n=8A119373
- Multiples of 17 containing a 17 in their decimal representation.at n=28A121037
- a(n) = 104*n + 9977.at n=35A126978
- Zero followed by partial sums of A008865.at n=34A145067
- a(n) = prime(n) * prime(n+2) - 2 * prime(n+1).at n=28A152532
- Totally multiplicative sequence with a(p) = a(p-1) + 8 for prime p.at n=29A166705
- Szeged index of the prism graph C_n X P_2 (n >=3).at n=14A245829
- Number of strings of length n over a 9-letter alphabet that begin with a nontrivial palindrome.at n=5A249642
- Number of times an odious number is encountered when iterating from 2^(n+1)-2 to (2^n)-2 with the map x -> x - (number of runs in binary representation of x).at n=18A255064
- Number of partitions of n having no even singletons.at n=43A265254
- Expansion of Product_{k>=1} (1 + x^k)^(k*((k-2)^2+k)/2).at n=11A294959