3217
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3218
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3216
- Möbius Function
- -1
- Radical
- 3217
- 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
- 74
- 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
- 455
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime.at n=17A000043
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=22A001134
- Degrees of primitive irreducible trinomials: n such that 2^n - 1 is a Mersenne prime and x^n + x^k + 1 is a primitive irreducible polynomial over GF(2) for some k with 0 < k < n.at n=12A001153
- Primes p such that (p+1)/2 is prime.at n=45A005383
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=40A007766
- Coordination sequence T1 for Zeolite Code TON.at n=35A008241
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=35A008264
- Coordination sequence T1 for Zeolite Code VET.at n=35A009902
- Powers of fourth root of 12 rounded up.at n=13A018080
- Numbers k such that the continued fraction for sqrt(k) has period 75.at n=0A020414
- Primes that remain prime through 2 iterations of function f(x) = 6x + 7.at n=43A023258
- a(n) = A027082(n, 2n-5).at n=7A027092
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 12.at n=1A031600
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=4A031804
- Numbers k such that 89*2^k+1 is prime.at n=10A032394
- Primes of form x^2+38*y^2.at n=35A033226
- Primes of form x^2+51*y^2.at n=33A033233
- Primes of form x^2+66*y^2.at n=24A033242
- Primes of form x^2+86*y^2.at n=19A033255
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=17A034072