13465
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16164
- Proper Divisor Sum (Aliquot Sum)
- 2699
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10768
- Möbius Function
- 1
- Radical
- 13465
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 89
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=15A020428
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A024975.at n=34A024980
- Numerators of continued fraction convergents to sqrt(572).at n=4A042096
- Expansion of (1 - x)/(1 - 2*x - x^3).at n=13A052980
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=38A057123
- Centered 24-gonal numbers.at n=33A069190
- Start with 1 and repeatedly reverse the digits and add 66 to get the next term.at n=15A118200
- Number of one-sided n-step prudent walks, avoiding single west step only, i.e., two or more consecutive west steps are permitted.at n=12A190512
- A bisection of A183168.at n=35A215933
- Numbers k such that 6^k - 7 is prime.at n=25A217352
- Number of tilings of a 3 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles.at n=21A219968
- If n <= 5 then a(n) = 1, if 6 <= n <= 8 then 2, if n = 9 or 10 then 3, if n = 11, 12 or 13 then n-7; otherwise a(n) = 2*a(n - 4) + a(n - 12).at n=51A239905
- Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 9.at n=45A240018
- a(n) = A066048(a(n-1) + a(n-2)) with a(0) = 0 and a(1) = 1.at n=38A277110
- Number of terms in polynomial sequence s(n) = (x*s(n-1)*s(n-4) + y*s(n-2)*s(n-3))/s(n-5), with s(k) = 1 for k = 0..4.at n=50A333260