2241
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
- 8
- Divisor Sum
- 3360
- Proper Divisor Sum (Aliquot Sum)
- 1119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1476
- Möbius Function
- 0
- Radical
- 249
- Omega Function (Ω)
- 4
- 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
- 45
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=23A001239
- Squares written in base 6.at n=23A001741
- Centered 4-dimensional orthoplex numbers (crystal ball sequence for 4-dimensional cubic lattice).at n=7A001846
- Crystal ball sequence for 7-dimensional cubic lattice.at n=4A001849
- Expansion of (2 - x)^4/(1 - x)^8.at n=4A006637
- Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals.at n=70A008288
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=54A008771
- Numbers that are the sum of 3 positive cubes in more than one way.at n=15A008917
- Coordination sequence T6 for Zeolite Code DFO.at n=36A009880
- a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.at n=8A014820
- Expansion of 1/(1-x^8-x^9-x^10-x^11-x^12-x^13-x^14).at n=55A017872
- a(n+1) (n >= 1) is smallest number > a(n) which is the sum of cubes of distinct earlier terms.at n=42A019511
- Pseudoprimes to base 82.at n=33A020210
- Pisot sequence T(5,9), a(n) = floor(a(n-1)^2/a(n-2)).at n=11A020750
- Fibonacci sequence beginning 1, 9.at n=13A022099
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=29A022878
- Ternary expansion uses each positive digit just once.at n=45A023741
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=10A024974
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=15A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=10A025400