12451
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12452
- 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
- 12450
- Möbius Function
- -1
- Radical
- 12451
- 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
- 37
- 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
- 1486
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime whose digit product is n, if possible; otherwise 0 if n is a prime > 7 or 1 if n has a prime factor > 7.at n=40A016112
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=22A031830
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=24A056987
- Denoting 5 consecutive primes by p, q, r, s and t, these are the values of q such that q, r and s have 10 as a primitive root, but p and t do not.at n=25A060261
- Primes of the form 6*k^2 + 6*k + 31.at n=38A060844
- Largest prime divisor of n-th primorial - (n+1)-st prime.at n=4A065316
- Smallest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=29A106817
- Smallest prime whose digital product = n or 0 if impossible.at n=39A107698
- Start with 1 and repeatedly reverse the digits and add 55 to get the next term.at n=30A118161
- Mountain primes.at n=24A134951
- Primes of the form 210k + 61.at n=32A140854
- Primes congruent to 28 mod 41.at n=35A142225
- Primes congruent to 24 mod 43.at n=34A142273
- Primes congruent to 43 mod 47.at n=36A142394
- Primes congruent to 5 mod 49.at n=40A142418
- Primes congruent to 49 mod 53.at n=27A142579
- Primes congruent to 21 mod 55.at n=34A142616
- Primes congruent to 25 mod 57.at n=37A142680
- Primes congruent to 2 mod 59.at n=25A142729
- Primes congruent to 7 mod 61.at n=30A142805