13043
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13044
- 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
- 13042
- Möbius Function
- -1
- Radical
- 13043
- 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
- 182
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1554
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Denominators of continued fraction convergents to sqrt(153).at n=10A041281
- Denominators of continued fraction convergents to sqrt(612).at n=10A042175
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=30A055472
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=34A070934
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 6*p+1 is also prime.at n=41A075705
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=34A082244
- Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=16A095697
- Numbers p such that p = (prime(n)+ prime(n+2))/2 is prime for prime indices n=2, 3, 5...at n=17A098038
- Coefficients of the D-Dyson mod 27 identity.at n=39A104504
- Numbers k such that (3^k + 5^k)/8 = A074606(k)/8 is a prime.at n=11A122853
- Cyclops primes.at n=34A134809
- Primes of the form 210k + 23.at n=32A140844
- Primes congruent to 5 mod 41.at n=41A142202
- Primes congruent to 14 mod 43.at n=36A142263
- Primes congruent to 24 mod 47.at n=34A142375
- Primes congruent to 9 mod 49.at n=38A142421
- Primes congruent to 5 mod 53.at n=28A142535
- Primes congruent to 47 mod 57.at n=37A142694
- Primes congruent to 4 mod 59.at n=25A142731
- Primes congruent to 50 mod 61.at n=26A142848