15569
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
- 15570
- 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
- 15568
- Möbius Function
- -1
- Radical
- 15569
- 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
- 221
- 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
- 1816
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Least prime in A031930 (lesser of 12-twins) whose distance to the next 12-twin is 2*n.at n=13A052355
- Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p.at n=33A059287
- Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p.at n=23A059669
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=39A070184
- a(1) = 2; a(n) is the smallest prime greater than the sum of all previous terms.at n=13A070218
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=40A088483
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=17A094455
- Prime numbers p such that 2*p+1, p*(p + 1) - 1 and p*(p + 1) + 1 are also primes.at n=15A136015
- Primes congruent to 40 mod 53.at n=35A142570
- Primes congruent to 52 mod 59.at n=35A142779
- Primes congruent to 14 mod 61.at n=28A142812
- Primes of the form 20*k^2 + 36*k + 17.at n=11A154419
- Primes p such that p^3-p-+1 are twin primes.at n=25A158295
- Primes p such that 2*p^4-+21 are also prime.at n=29A174367
- Primes p such that p plus or minus the sum of its digits squared yields a prime in both cases.at n=35A179550
- Primes which are the sum of three distinct positive cubes in two or more distinct ways.at n=12A180088
- Primes p such that p^2 is an arithmetic average of 4 consecutive primes.at n=39A217443
- Primes p such that both 2*p + 1 and p^2 + p + 1 are primes.at n=43A224781
- Primes p such that A179382((p+1)/2) = (p-1)/16.at n=26A225759
- Prime(n), where n is such that (1+sum_{i=1..n} prime(i)^14) / n is an integer.at n=25A233043