14159
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14160
- 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
- 14158
- Möbius Function
- -1
- Radical
- 14159
- 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
- 102
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1667
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 3*a(n-1) + a(n-2) with a(0) = 2, a(1) = 3.at n=8A006497
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=33A010004
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=39A025025
- Primes of the form k^2 - 2.at n=29A028871
- Concatenation of the decimal digits of Pi-3.at n=4A039916
- Numerators of continued fraction convergents to sqrt(13).at n=13A041018
- Numerators of continued fraction convergents to sqrt(117).at n=7A041212
- Numerators of continued fraction convergents to sqrt(637).at n=7A042222
- Primes seen in the decimal expansion of Pi (disregarding the decimal point) that are contiguous, smallest and distinct.at n=1A047777
- Primes whose consecutive digits differ by 3 or 4.at n=26A048415
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=5A052356
- A Chebyshev or generalized Fibonacci sequence.at n=4A057076
- Safe primes which are also Sophie Germain primes.at n=35A059455
- Primes with 13 as smallest positive primitive root.at n=36A061326
- Primes p such that (p-1)/2 and (p-3)/4 are also prime.at n=25A066179
- Prime sum of n-th group of successive primes in A073684.at n=28A073682
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=38A075707
- First n-digit prime encountered in decimal expansion of Pi (ignoring the initial 3).at n=4A076094
- Least k such that the class number of quadratic order of discriminant D=-4k equals p, where p runs through the primes.at n=39A079029
- Primes that are 2 less than a perfect power m^k, k >= 2.at n=32A094786