12959
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12960
- 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
- 12958
- Möbius Function
- -1
- Radical
- 12959
- 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
- 107
- 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
- 1543
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- [ exp(17/18)*n! ].at n=6A030878
- a(n) = least number not of form [ (a^2+b^2)/n ].at n=25A036574
- Denominators of continued fraction convergents to sqrt(359).at n=6A041681
- Numbers having four 5's in base 6.at n=28A043392
- Least inverse of A056796.at n=21A056817
- McKay-Thompson series of class 34A for Monster.at n=40A058638
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=30A059762
- Number of positions that are exactly n moves from the starting position in the Rashkey Type 1 puzzle.at n=9A079843
- Primes p such that 2*p+1 and ((2*p+1)^2 + 1)/2 = p^2 + (p+1)^2 are primes.at n=18A098717
- Primes of the form 2*n^2 + 2*n - 1.at n=29A098828
- Primes of the form 4*k-1 such that 8*k-1 and 16*k-1 are also primes.at n=25A101791
- a(1) = 1; for n>1, a(n) = the smallest number p > a(n-1) such that (a(n-1)+p)/2 is a cube.at n=22A126950
- Mother primes of order 9.at n=37A136068
- Running prime totals of prime factors (without multiplicity) of consecutive composite N.at n=33A140610
- Prime chain of 128 terms, including 104 distinct primes, consisting of the output of eight equations that alternate sequentially within a procedural expression of a single polynomial. The equations are either subsequences of x^2 - 79x + 1601 or transforms with one exception: 100x^2 - 2260x + 12959. The other four distinct equations are Euler-derived: 25x^2 - 1185x + 14083, 25x^2 - 775x + 6047, 100x^2 - 2280x + 13159, 100x^2 - 4160x + 43427.at n=7A140708
- Primes congruent to 3 mod 41.at n=40A142200
- Primes congruent to 16 mod 43.at n=35A142265
- Primes congruent to 34 mod 47.at n=33A142385
- Primes congruent to 23 mod 49.at n=36A142433
- Primes congruent to 27 mod 53.at n=26A142557