3301
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3302
- 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
- 3300
- Möbius Function
- -1
- Radical
- 3301
- 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
- 136
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 464
- 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=30A001125
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=10A001135
- Genus of modular group Gamma(n) = genus of modular curve Chi(n).at n=48A001767
- Reflectable emirps.at n=14A007628
- Coordination sequence T4 for Zeolite Code DDR.at n=36A008074
- Coordination sequence T6 for Zeolite Code PAU.at n=42A008224
- Coordination sequence T4 for Zeolite Code DFO.at n=44A009878
- a(n) is prime and sum of all primes <= a(n) is prime.at n=44A013917
- a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.at n=22A014818
- Number of ordered triples of integers from [ 1..n ] with no global factor.at n=27A015631
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=48A017865
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=10A020376
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=44A023243
- Primes p such that p, p+6, p+12, p+18 are all primes.at n=14A023271
- n written in fractional base 6/3.at n=37A024636
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7,..., 1/(3n-2)} satisfy r < s, then r < k/m < s for some integer k.at n=38A024822
- Number of partitions of n that do not contain 2 as a part.at n=33A027336
- Primes of form x^2+65*y^2.at n=21A033241
- Primes of form x^2+69*y^2.at n=25A033244
- Primes of form x^2+77*y^2.at n=21A033249