16217
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16218
- 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
- 16216
- Möbius Function
- -1
- Radical
- 16217
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- 1884
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Pisot sequence E(8,14), a(n)=[ a(n-1)^2/a(n-2)+1/2 ].at n=13A014002
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=38A023282
- Primes that remain prime through 4 iterations of function f(x) = 9x + 10.at n=12A023327
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=31A031421
- Surround numbers of a length 2n zig-zag.at n=36A060641
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662].at n=15A078857
- Primes p such that 8p +1 and (p-1)/8 are primes.at n=9A085958
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=30A094458
- Minimal peaks in digital expansions of Pi: positions of peaks equal to 1.at n=14A105275
- Primes p such that p - q = 24, where q is the previous prime before p; or prime numbers preceded by precisely 23 composite numbers.at n=23A126720
- Father primes of order 8.at n=28A136077
- Primes congruent to 2 mod 47.at n=38A142355
- Primes congruent to 52 mod 53.at n=36A142582
- Primes congruent to 51 mod 59.at n=29A142778
- Primes congruent to 52 mod 61.at n=31A142850
- Least prime a(n) such that M(n)*(M(n)+a(n))-1 and M(n)*(M(n)+a(n))+1 are twin primes with M(i)=i-th Mersenne prime A000043(i).at n=9A143387
- Primes p such that continued fraction of (1 + sqrt(p))/2 has period 9: primes in A143577.at n=36A146354
- Primes of the form 3*n^2 - 3*n + 11.at n=37A153502
- Primes p such that p^3 + p^2 - 1 and p^3 + p^2 + 1 are prime.at n=39A160859
- Primes which are anagrams of cubes.at n=32A161854