3304
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 3896
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1392
- Möbius Function
- 0
- Radical
- 826
- Omega Function (Ω)
- 5
- 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
- 92
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=27A000125
- a(n) = (5*n+1)*(5*n+4).at n=11A001545
- Number of partitions of n into nonprime parts.at n=49A002095
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=34A004210
- Numbers k such that sigma(k+2) = sigma(k).at n=11A007373
- Shifts left when INVERT transform applied thrice.at n=6A007564
- Table T(n,k), n>=0 and k>=0, read by antidiagonals: the k-th column given by the k-th Narayana polynomial.at n=48A008550
- Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19).at n=36A014561
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=35A020644
- n written in fractional base 6/3.at n=40A024636
- Coordination sequence T6 for Zeolite Code MWW.at n=38A024991
- Expansion of Product_{d | 48} theta_3(q^d).at n=43A033760
- Numbers divisible by the sum of the cubes of their digits.at n=40A034088
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 5).at n=53A035578
- Numerators of continued fraction convergents to sqrt(886).at n=7A042712
- Numbers whose base-5 representation has exactly 6 runs.at n=19A043606
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n-1.at n=35A044336
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n+1.at n=35A044717
- Number of 2n-bead balanced binary necklaces which are equivalent to their reverse, but not equivalent to their complement and reversed complement.at n=15A045676
- Integers k such that in the list of divisors of k (in base 5), each digit 0-4 appears equally often.at n=6A045869