3313
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3314
- 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
- 3312
- Möbius Function
- -1
- Radical
- 3313
- 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
- 92
- 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
- 466
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=43A000923
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=23A001134
- Numbers k such that 5*2^k + 1 is prime.at n=12A002254
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=23A003154
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=21A005471
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=30A006562
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=42A007766
- Coordination sequence T1 for Zeolite Code BIK.at n=35A008047
- Coordination sequence T5 for Zeolite Code BOG.at n=41A008053
- Coordination sequence T2 for Zeolite Code AHT.at n=39A009867
- Coordination sequence T1 for Zeolite Code RUT.at n=38A009897
- Numbers k such that the continued fraction for sqrt(k) has period 75.at n=1A020414
- Primes that contain digits 1 and 3 only.at n=9A020451
- Second Bernoulli polynomial evaluated at x=n! (multiplied by 6).at n=4A020544
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=38A023252
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=25A024826
- Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=25A024838
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=6A031810
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=37A031894
- Substrings from the right are prime numbers (using only odd digits different from 5).at n=23A032437