12491
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12492
- 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
- 12490
- Möbius Function
- -1
- Radical
- 12491
- 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
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1491
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=19A052233
- Primes that are a concatenation of a prime and its first digit.at n=37A085414
- Primes p such that primorial(p)/2 - 2 is prime.at n=25A096547
- Primes of the form (prime(prime(k)) + prime(prime(k+1)))/2.at n=14A098042
- Primes p such that pi(p) is obtained by dropping one of the digits of p in decimal expansion.at n=1A114924
- The difference between the largest part and the smallest part summed over all those partitions of n in which every integer from the smallest part to the largest part occurs.at n=46A117471
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=24A119597
- Primes associated with the indices in A133589.at n=2A133590
- Mountain primes.at n=25A134951
- Primes congruent to 22 mod 37.at n=42A142131
- Primes congruent to 27 mod 41.at n=33A142224
- Primes congruent to 21 mod 43.at n=36A142270
- Primes congruent to 36 mod 47.at n=33A142387
- Primes congruent to 45 mod 49.at n=35A142452
- Primes congruent to 36 mod 53.at n=21A142566
- Primes congruent to 6 mod 55.at n=37A142605
- Primes congruent to 42 mod 59.at n=27A142769
- Primes congruent to 47 mod 61.at n=23A142845
- a(0) = 0, a(1) = 1, a(n+1) = (2*n+1)*(n^2+n+25)*a(n) - n^6*a(n-1).at n=3A143005
- Primes of the form 3*n^2 - 3*n + 11.at n=34A153502