16699
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16700
- 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
- 16698
- Möbius Function
- -1
- Radical
- 16699
- 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
- 115
- 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
- 1932
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=30A046014
- a(1) = 2, a(2) = 3; for n > 0, a(n+2) is the smallest prime chosen so that (a(n+2) - a(n+1))/(a(n+1) - a(n)) is an integer.at n=17A084736
- Primes with digit sum = 31.at n=18A106767
- Mother primes of order 11.at n=25A136070
- Primes congruent to 4 mod 53.at n=38A142534
- Primes congruent to 2 mod 59.at n=34A142729
- Primes congruent to 46 mod 61.at n=32A142844
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, -1), (1, -1, -1), (1, 1, 0)}.at n=10A148528
- Primes p such that (p-1)*p*(p+1)-p+2 and (p-1)*p*(p+1)+p-2 are primes.at n=26A154944
- Primes p such that p^2 - 2 is a 5-almost prime.at n=23A156620
- Smaller member of a pair (p,q) of cousin primes such that p and q are in different centuries.at n=17A160440
- Numbers k such that the periodic part of the continued fraction of sqrt(k) has more ones than any smaller k.at n=30A206579
- Primes p such that f(f(p)) is prime, where f(x) = x^4-x^3-x^2-x-1.at n=34A230029
- a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd size and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0.at n=22A282001
- Partial sums of A299272.at n=23A299273
- Positive integers that have exactly ten representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.at n=6A317400
- Numbers k such that 321*2^k+1 is prime.at n=17A322952
- Values of odd prime numbers, D, for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -2.at n=32A336790
- Values of odd prime numbers, D, for incrementally largest values of minimal positive y satisfying the equation x^2 - D*y^2 = -2.at n=31A336792
- Primes that become semiprimes when turned upside down.at n=38A347294