3302
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 2074
- 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
- 1512
- Möbius Function
- -1
- Radical
- 3302
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 136
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2^n - C(n,0) - ... - C(n,4).at n=12A002664
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=26A003600
- Representation degeneracies for boson strings.at n=24A005294
- Coordination sequence T7 for Zeolite Code MFS.at n=35A008179
- a(n) = Sum_{k=0..7} binomial(n,k).at n=12A008860
- Coordination sequence for FeS2-Marcasite, Fe position.at n=30A009955
- Expansion of Product_{m>=1} (1+q^m)^26.at n=3A022590
- Number of partitions of n into 6 unordered relatively prime parts.at n=39A023026
- n written in fractional base 6/3.at n=38A024636
- Coordination sequence T3 for Zeolite Code IFR.at n=40A024984
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 5).at n=36A035553
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=18A038664
- Numbers whose base-5 representation has exactly 6 runs.at n=17A043606
- Numbers k such that the string 6,8 occurs in the base 9 representation of k but not of k-1.at n=44A044313
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n-1.at n=35A044334
- Numbers n such that string 0,2 occurs in the base 10 representation of n but not of n+1.at n=35A044715
- Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, but not equivalent to their complement and reversed complement.at n=15A045685
- Composite numbers whose 3 prime factors are distinct in length.at n=15A046443
- Let p1, p2 be first pair of consecutive primes with difference 2n; let p3, p4 be 2nd such pair; sequence gives "wadi" value p3-p1.at n=17A046728
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1, 2 and 3 (mod 5).at n=65A046783