12413
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12414
- 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
- 12412
- Möbius Function
- -1
- Radical
- 12413
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 94
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1482
- 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 67.at n=14A020406
- Primes that remain prime through 3 iterations of function f(x) = 9x + 4.at n=26A023297
- Denominators of continued fraction convergents to sqrt(113).at n=13A041205
- Denominators of continued fraction convergents to sqrt(452).at n=7A041861
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23.at n=18A051964
- Fifth term of strong prime quintets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1).at n=31A054812
- Primes of form Sum_{k=1..n} (prime(k)+1).at n=31A062736
- Primes whose decimal representation is a valid number in base 5 and interpreted as such is again a prime.at n=25A090708
- Irregular primes whose indices are irregular primes of order one.at n=34A090869
- Column 4 of triangle A091602.at n=41A091607
- Primes of the form 47n+5.at n=33A100760
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=22A119595
- Primes p such that p^2 is an interprime = average of two successive primes.at n=40A123993
- a(n) = Frobenius number for 3 successive primes = F[p(n), p(n+1), p(n+2)].at n=42A138989
- Primes of the form 210k + 23.at n=31A140844
- Primes congruent to 31 mod 41.at n=39A142228
- Primes congruent to 29 mod 43.at n=37A142278
- Primes congruent to 16 mod 49.at n=30A142427
- Primes congruent to 11 mod 53.at n=27A142541
- Primes congruent to 38 mod 55.at n=37A142628