16747
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16748
- 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
- 16746
- Möbius Function
- -1
- Radical
- 16747
- 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
- 110
- 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
- 1936
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = prime(n^2).at n=43A011757
- Denominators of continued fraction convergents to sqrt(633).at n=9A042215
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=30A046016
- a(n)=Sum_{d|n} d*numbpart(d), where numbpart(d)=number of partitions of d, cf. A000041.at n=20A061259
- Minimal m such that n^n-m and n^n+m are both primes, or -1 if there is no such m.at n=34A075468
- Primes p such that 6p + 1 and (p-1)/6 are primes.at n=28A085957
- Primes p such that p-3 and p+3 are divisible by a cube.at n=15A089201
- Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.at n=18A089779
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=28A091362
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=23A091365
- Leading diagonal of triangle A093922.at n=35A093923
- Primes of the form 6n^2 - 2n - 1.at n=18A099007
- Primes p such that 6p + 7 is a square.at n=40A110014
- Sum over all partitions of n of the sum of the parts that are smaller than the largest part.at n=22A116688
- Primes congruent to 52 mod 53.at n=37A142582
- Primes congruent to 50 mod 59.at n=32A142777
- Primes congruent to 33 mod 61.at n=34A142831
- Primes p such that 10p+1 divides 2^p-1.at n=38A188133
- Numbers n such that n!8-2 is prime.at n=52A204664
- Least prime p such that p*6^n +/- 1 are primes.at n=54A225057