12613
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12614
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12612
- Möbius Function
- -1
- Radical
- 12613
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1507
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of centered hydrocarbons with n atoms.at n=17A000022
- Odd numbers in sorted order from generation 2 onwards.at n=28A048462
- Distinct primes in sorted order from generation 2 onwards.at n=14A048465
- Primes p from A031924 such that A052180(primepi(p)) = 11.at n=26A052232
- Smallest prime of irregularity index n.at n=5A061576
- Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=5A064779
- a(n) = floor(n*(n^3-n-3)/(2*(n-1))).at n=27A117561
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=19A137474
- Primes of the form 210n + 13.at n=29A140841
- Primes congruent to 33 mod 37.at n=41A142142
- Primes congruent to 26 mod 41.at n=41A142223
- Primes congruent to 14 mod 43.at n=35A142263
- Primes congruent to 17 mod 47.at n=34A142368
- Primes congruent to 20 mod 49.at n=30A142431
- Primes congruent to 52 mod 53.at n=28A142582
- Primes congruent to 18 mod 55.at n=38A142614
- Primes congruent to 16 mod 57.at n=36A142675
- Primes congruent to 46 mod 59.at n=24A142773
- Primes congruent to 47 mod 61.at n=24A142845
- Number of n-leaf binary trees that do not contain ((()())(()((()())()))) as a subtree.at n=10A159773