2448
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 7254
- Proper Divisor Sum (Aliquot Sum)
- 4806
- 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
- 768
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 40
- 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
- A sequence satisfying (a(2n+1) + 1)^3 = Sum_{k=1..2n+1} a(k)^3.at n=4A000955
- Orders of noncyclic simple groups (without repetition).at n=6A001034
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=16A001766
- a(n) = 2*(a(n-1) + a(n-2)), a(0) = 0, a(1) = 1.at n=9A002605
- Numbers that are the sum of 12 positive 6th powers.at n=40A003368
- Numbers that are the sum of 8 positive 7th powers.at n=11A003375
- Self-convolution 4th power of A001764, which enumerates ternary trees.at n=5A006629
- Coordination sequence T4 for Zeolite Code DDR.at n=31A008074
- Coordination sequence T1 for Cordierite.at n=30A008251
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=18A011940
- Composite numbers that are equal to the sum of the first k composites for some k.at n=44A013921
- a(n) = (2*n - 7)*n^2.at n=12A015242
- a(n) is the concatenation of n and 2n.at n=23A019550
- a(n) = n*(17*n - 1)/2.at n=17A022274
- Fibonacci sequence beginning 0, 17.at n=12A022351
- a(n) = floor(C(2n,n)/2^n).at n=14A024502
- Numbers that are the sum of 4 distinct nonzero squares in exactly 7 ways.at n=44A025382
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=22A026061
- a(n) = n*(n+1)*(n+2)/2.at n=16A027480
- a(n) = n*(n+3).at n=48A028552