15727
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15728
- 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
- 15726
- Möbius Function
- -1
- Radical
- 15727
- 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
- 84
- 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
- 1832
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Record gaps between primes (upper end) (compare A002386, which gives lower ends of these gaps).at n=11A000101
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=21A001632
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=44A007811
- Initial members of prime 5-tuples (p, p+4, p+6, p+10, p+12).at n=5A022007
- Primes at which difference pattern X4242Y (X and Y >= 6) occurs in A001223.at n=3A052168
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=28A052378
- Numbers k such that x^k + x^10 + 1 is irreducible over GF(2).at n=9A057480
- Upper ends of record prime gaps under consideration of the prime number theorem.at n=11A060771
- Numbers n such that n, 10*n+1, 10*n+3, 10*n+7 and 10*n+9 are all primes.at n=3A067267
- Smallest a(n)>2 such that all integers strictly between a(n)-n and a(n) are composite.at n=43A075741
- Primes p such that three (the maximum number) primes occur between p and p+12.at n=9A086140
- Smallest prime which occurs exactly n times in the sequence A086527.at n=23A086528
- Least prime that begins a run of exactly 2n-1 primes between two consecutive prime-indexed primes.at n=7A088988
- Least initial value for an Euclid/Mullin sequence whose 4th term is prime(n). prime(1)=2 is never a fourth term, so offset=2.at n=43A094465
- Primes p such that primorial(p)/2 + 2 is prime.at n=20A096177
- Prime numbers which when written in base 7 have a composite digit-sum.at n=23A096790
- Smallest prime number that ends a prime gap of at least 2n.at n=21A100965
- Smallest prime number that ends a prime gap of at least 2n.at n=20A100965
- Smallest prime number that ends a prime gap of at least 2n.at n=19A100965
- Smallest prime number that ends a prime gap of at least 2n.at n=18A100965