12841
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12842
- 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
- 12840
- Möbius Function
- -1
- Radical
- 12841
- 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
- 161
- 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
- 1531
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 62 ones.at n=26A031830
- Primes p such that p-12, p and p+12 are consecutive primes.at n=9A053072
- Primes with 21 as smallest positive primitive root.at n=2A061333
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an obtuse isosceles integer triangle with prime side lengths.at n=21A070135
- Primes for which the smallest positive primitive root is odd and nonprime.at n=7A070269
- Smallest number whose cube begins and ends in n, or 0 if no such number exists.at n=21A077752
- Numbers k such that 1 + (x + x^3 + x^5 + x^7 + ... + x^(2*k+1)) is irreducible over GF(2).at n=29A107220
- List of triples of primes with common difference 12.at n=28A128312
- Mountain primes.at n=33A134951
- Primes of the form x^2 + 1320*y^2.at n=35A139666
- Primes of the form 210k + 31.at n=31A140846
- Primes congruent to 8 mod 41.at n=38A142205
- Primes congruent to 27 mod 43.at n=37A142276
- Primes congruent to 10 mod 47.at n=35A142361
- Primes congruent to 3 mod 49.at n=39A142416
- Primes congruent to 15 mod 53.at n=26A142545
- Primes congruent to 26 mod 55.at n=36A142619
- Primes congruent to 16 mod 57.at n=37A142675
- Primes congruent to 38 mod 59.at n=24A142765
- Primes congruent to 31 mod 61.at n=31A142829