3072
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 22
- Divisor Sum
- 8188
- Proper Divisor Sum (Aliquot Sum)
- 5116
- 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
- 1024
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 11
- Little Omega Function (ω)
- 2
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 17
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Order of the group SL(2,Z_n).at n=15A000056
- Generalized class numbers c_(n,1).at n=31A000233
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=35A000423
- Powers of rooted tree enumerator.at n=7A000529
- Jordan-Polya numbers: products of factorial numbers A000142.at n=42A001013
- Double-bitters: only even length runs in binary expansion.at n=32A001196
- a(n) = 3*4^(n-1), n>0; a(0)=1.at n=6A002001
- Denominators of coefficients of expansion of Bessel function J_2(x).at n=2A002506
- Numbers that are the sum of 3 positive 5th powers.at n=19A003348
- Sum of 12 nonzero 8th powers.at n=12A003390
- Numbers that are the sum of 6 positive 9th powers.at n=6A003395
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=52A003586
- Smallest number with 2n divisors.at n=10A003680
- Expansion of g.f. (1+x)/(1-2*x).at n=11A003945
- Numbers that are the sum of 3 nonzero 10th powers.at n=3A004803
- Numbers that are the sum of at most 3 positive 5th powers.at n=34A004843
- Numbers that are the sum of at most 6 positive 9th powers.at n=27A004890
- Numbers that are the sum of at most 7 positive 9th powers.at n=33A004891
- Numbers that are the sum of at most 8 positive 9th powers.at n=39A004892
- Numbers that are the sum of at most 9 positive 9th powers.at n=45A004893