1224
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 3510
- Proper Divisor Sum (Aliquot Sum)
- 2286
- 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
- 384
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- Number of necklaces with n beads of 2 colors, allowing turning over (these are also called bracelets).at n=15A000029
- a(n) = n*(n+3)/2.at n=48A000096
- Latest possible occurrence of the first consecutive pair of n-th power residues, modulo any prime.at n=2A000445
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=52A002789
- Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1.at n=62A003105
- Number of planar partitions of n decreasing across rows.at n=15A003293
- Expansion of (1+2*x+x^2)/(1-34*x+x^2).at n=2A004294
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=34A005563
- Number of partitions of 3n into powers of 3.at n=49A005704
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=15A005996
- Numbers k such that k^8 + 1 is prime.at n=47A006314
- Number of twin prime pairs below 10^n.at n=4A007508
- Coordination sequence T4 for Zeolite Code AFO.at n=23A008018
- Coordination sequence T6 for Zeolite Code DDR.at n=22A008076
- Coordination sequence T2 for Zeolite Code HEU.at n=23A008117
- Coordination sequence T2 for Zeolite Code LEV.at n=26A008128
- Theta series of direct sum of f.c.c. and b.c.c. lattices.at n=43A008664
- List of ordered areas of Pythagorean triangles.at n=40A009111
- Areas of Pythagorean triangles: numbers which can be the area of a right triangle with integer sides.at n=37A009112
- a(n) = lcm(n, sigma(n)).at n=50A009242