12503
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
- 12504
- 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
- 12502
- Möbius Function
- -1
- Radical
- 12503
- 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
- 112
- 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
- 1493
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = a(n-1) + 2*a(n-3) with a(0)=a(1)=1, a(2)=3.at n=18A003229
- Numerators of continued fraction convergents to sqrt(370).at n=3A041700
- Primes p such that x^47 = 2 has no solution mod p.at n=34A059257
- Expansion of 1/(1-x-2*x^3).at n=19A077949
- Primes such that successive differences are increasing palindromes.at n=18A087581
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=28A094458
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=37A109982
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=23A119595
- Mother primes of order 9.at n=35A136068
- Primes congruent to 34 mod 37.at n=37A142143
- Primes congruent to 39 mod 41.at n=38A142236
- Primes congruent to 33 mod 43.at n=38A142282
- Primes congruent to 8 mod 49.at n=36A142420
- Primes congruent to 48 mod 53.at n=28A142578
- Primes congruent to 18 mod 55.at n=37A142614
- Primes congruent to 20 mod 57.at n=36A142677
- Primes congruent to 54 mod 59.at n=28A142781
- Primes congruent to 59 mod 61.at n=25A142857
- Primes congruent to 29 mod 63.at n=41A142905
- Prime numbers p such that p - 1 is the fourth a-figurate number and nineteenth b-figurate number for some a and b.at n=11A144327