13159
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13160
- 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
- 13158
- Möbius Function
- -1
- Radical
- 13159
- 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
- 213
- 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
- 1565
- 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 90 ones.at n=5A031858
- Primes p such that x^43 = 2 has no solution mod p.at n=34A059243
- Number of partitions of n into squarefree parts.at n=43A073576
- Primes of the form 6n^2 - 2n - 1.at n=17A099007
- Numbers n such that 99 * 10^n + 1 is prime.at n=17A109713
- Primes p such that 6p + 7 is a square.at n=38A110014
- Primes p such that p, p+4 and p+12 are consecutive primes.at n=36A139385
- Primes of the form 55x^2+10xy+199y^2.at n=21A140632
- 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=3A140708
- Primes congruent to 39 mod 41.at n=39A142236
- Primes congruent to 1 mod 43.at n=35A142250
- Primes congruent to 46 mod 47.at n=31A142397
- Primes congruent to 27 mod 49.at n=35A142437
- Primes congruent to 15 mod 53.at n=27A142545
- Primes congruent to 14 mod 55.at n=36A142611
- Primes congruent to 49 mod 57.at n=40A142695
- Primes congruent to 2 mod 59.at n=28A142729
- Primes congruent to 44 mod 61.at n=26A142842
- Primes congruent to 55 mod 63.at n=41A142920
- Prime numbers such that the sum of any 2 or 4 consecutive terms are averages of twin prime pairs and sum of any 3 or 5 consecutive terms are primes.at n=7A153128