1536
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 4092
- Proper Divisor Sum (Aliquot Sum)
- 2556
- 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
- 512
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 10
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 16
- 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
- a(n) = n^2*Product_{p|n} (1 + 1/p).at n=31A000082
- Number of invertible 2 X 2 matrices mod n.at n=7A000252
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=29A000423
- Numbers that are not the sum of 4 nonzero squares.at n=22A000534
- Threshold functions of exactly n variables.at n=4A000615
- Jordan-Polya numbers: products of factorial numbers A000142.at n=35A001013
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=15A001766
- a(n) = 6*4^n.at n=4A002023
- Numbers that are the sum of 12 positive 7th powers.at n=12A003379
- Numbers that are the sum of 6 nonzero 8th powers.at n=6A003384
- Numbers that are the sum of 3 positive 9th powers.at n=3A003392
- Generalized Euler phi function (for p=2).at n=11A003473
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=44A003586
- Expansion of g.f. (1+x)/(1-2*x).at n=10A003945
- Ratios of successive terms are 1,2,2,2,3,4,4,4,5,6,6,6,7,...at n=8A004528
- Numbers that are the sum of at most 6 nonzero 8th powers.at n=27A004879
- Numbers that are the sum of at most 7 nonzero 8th powers.at n=33A004880
- Numbers that are the sum of at most 8 nonzero 8th powers.at n=39A004881
- Numbers that are the sum of at most 3 positive 9th powers.at n=9A004887
- Numbers that are the sum of at most 4 positive 9th powers.at n=12A004888