12671
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
- 12672
- 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
- 12670
- Möbius Function
- -1
- Radical
- 12671
- 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
- 156
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1514
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 6*a(n-2) - a(n-4).at n=12A006452
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=35A020427
- a(n) = 6*a(n-1) - a(n-2), n >= 2, a(0)=1, a(1)=2.at n=6A038725
- Solutions (value of r) of the Diophantine equation 2*x^2 + 3*x + 2 = r^2.at n=5A055979
- Primes with 14 as smallest positive primitive root.at n=9A061327
- Primes p such that p^2-1 is a triangular number.at n=4A078699
- Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=23A078765
- Least k such that the class number of quadratic order of discriminant D=-4k equals p, where p runs through the primes.at n=31A079029
- Primes in A112714.at n=41A112715
- Numbers k such that phi(k)*sigma(k) is a triangular number.at n=13A115911
- a(2n) = A001653(n) (Numbers n such that 2*n^2 - 1 is a square), a(2n+1) = A038725(n+1).at n=11A117719
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=30A118507
- Dispersion of the Beatty sequence ([r*n]: n >= 1), where r = 3 + 8^(1/2): square array D(n,m) (n, m >= 1), read by ascending antidiagonals.at n=26A120858
- Prime arithmetic mean of ten consecutive primes.at n=31A123096
- Mountain primes.at n=28A134951
- Primes of the form 210n+71.at n=32A140856
- Primes congruent to 17 mod 37.at n=41A142126
- Primes congruent to 2 mod 41.at n=38A142199
- Primes congruent to 29 mod 43.at n=38A142278
- Primes congruent to 28 mod 47.at n=32A142379