3299
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3300
- 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
- 3298
- Möbius Function
- -1
- Radical
- 3299
- 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
- 30
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 463
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=13A002148
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=45A002515
- Positions of remoteness 4 in Beans-Don't-Talk.at n=23A005696
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=26A007354
- Primes of form 2n^2 - 2n + 19.at n=31A007639
- Coordination sequence T2 for Zeolite Code CAS.at n=35A008064
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=13A020389
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=28A023263
- Coordination sequence T2 for Zeolite Code IFR.at n=40A024983
- Palindromic primes in base 15.at n=33A029982
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 57.at n=5A031555
- Primes of form x^2+91*y^2.at n=30A033258
- Coordination sequence T1 for Zeolite Code SBT.at n=46A033612
- Multiplicity of highest weight (or singular) vectors associated with character chi_70 of Monster module.at n=44A034458
- Number of partitions of n into parts not of the form 11k, 11k+4 or 11k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=32A035947
- Numbers k such that the string 6,5 occurs in the base 9 representation of k but not of k-1.at n=44A044310
- Numbers n such that string 9,9 occurs in the base 10 representation of n but not of n-1.at n=32A044431
- Numbers n such that string 2,9 occurs in the base 10 representation of n but not of n+1.at n=36A044742
- Numbers n such that string 3,2 occurs in the base 10 representation of n but not of n+1.at n=35A044745
- Numbers n such that string 9,9 occurs in the base 10 representation of n but not of n+1.at n=32A044812