2024
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
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2296
- 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
- 880
- Möbius Function
- 0
- Radical
- 506
- 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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=22A000292
- Number of 7-dimensional partitions of n.at n=5A000427
- a(n) = 16*a(n-1) - a(n-2).at n=3A001081
- Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=11A002492
- Number of compositions of n such that no two adjacent parts are equal (these are sometimes called Carlitz compositions).at n=15A003242
- The smaller of a betrothed pair.at n=4A003502
- Degrees of irreducible representations of Mathieu group M_23.at n=16A003858
- Degrees of irreducible representations of Mathieu group M_24.at n=18A003859
- Degrees of irreducible representations of Conway group Co3.at n=8A003910
- Degrees of irreducible representations of Conway group Co2.at n=5A003911
- a(n) = binomial coefficient C(2n, n-9).at n=3A004315
- Binomial coefficient C(3n,n-5).at n=3A004323
- Binomial coefficient C(4n,n-3).at n=3A004333
- Binomial coefficient C(6n,n-1).at n=3A004356
- Binomial coefficient C(8n,n).at n=3A004381
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=43A005232
- Betrothed (or quasi-amicable) numbers.at n=8A005276
- a(n) = n*(n+2) = (n+1)^2 - 1.at n=44A005563
- Number of compositions (ordered partitions) of n into squares.at n=24A006456
- Dodecahedral numbers: a(n) = n*(3*n - 1)*(3*n - 2)/2.at n=8A006566