12757
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12758
- 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
- 12756
- Möbius Function
- -1
- Radical
- 12757
- 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
- 125
- 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
- 1522
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of factorization patterns of polynomials of degree n over F_4.at n=20A006169
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=36A017834
- Numbers k such that the continued fraction for sqrt(k) has period 75.at n=10A020414
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 5).at n=46A035569
- Primes p such that (p+1)/2 and (p+2)/3 are also primes.at n=31A036570
- Smallest prime in n-th shell of prime spiral.at n=20A053998
- Smallest prime p such that 2*p+1 has n prime factors (with multiplicity).at n=7A072060
- Number of ways associated with A088959.at n=25A088111
- Balanced primes of order twelve.at n=9A096704
- Larger prime in pair prime(k) +/- k for some k.at n=21A107637
- Smallest prime in kx^3+x+2 is prime.at n=50A114366
- Primes of the form a^a + b^b + c^c + d^d + e^e + f^f.at n=23A136294
- Primes congruent to 29 mod 37.at n=43A142138
- Primes congruent to 6 mod 41.at n=39A142203
- Primes congruent to 29 mod 43.at n=39A142278
- Primes congruent to 20 mod 47.at n=32A142371
- Primes congruent to 17 mod 49.at n=37A142428
- Primes congruent to 37 mod 53.at n=26A142567
- Primes congruent to 52 mod 55.at n=34A142638
- Primes congruent to 46 mod 57.at n=39A142693