3229
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3230
- 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
- 3228
- Möbius Function
- -1
- Radical
- 3229
- 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
- 457
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 6 as smallest primitive root.at n=28A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=35A001133
- Primes p such that 1 + product of primes up to p is prime.at n=10A005234
- Positions of remoteness 4 in Beans-Don't-Talk.at n=19A005696
- Primes of the form 2*k^2 + 29.at n=35A007641
- Expansion of e.g.f. cosh(log(1+log(1+x))).at n=6A009122
- Expansion of 1/(1-x^5-x^6-x^7).at n=53A017838
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EPI = Epistilbite Ca3[Al6Si18O48].16H2O starting with a T1 atom.at n=11A019119
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=12A020366
- Primes that remain prime through 2 iterations of function f(x) = 4x + 3.at n=40A023250
- Primes that remain prime through 2 iterations of function f(x) = 6x + 7.at n=44A023258
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=23A023280
- 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 3.at n=43A031416
- a(n) = floor ( n(n+1)(n+2)(n+3) / (n+(n+1)+(n+2)+(n+3)) ).at n=22A032767
- Primes of form x^2+51*y^2.at n=34A033233
- Primes of form x^2+89*y^2.at n=14A033257
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=24A033548
- Coordination sequence T1 for Zeolite Code SBS.at n=45A033608
- Used by Polya in calculating A000598.at n=13A036677
- Numbers whose base-7 representation contains exactly three 2's.at n=39A043403