2268
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
- 6776
- Proper Divisor Sum (Aliquot Sum)
- 4508
- 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
- 648
- Möbius Function
- 0
- Radical
- 42
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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 binary partitions: number of partitions of 2n into powers of 2.at n=34A000123
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=23A001976
- Number of n-step self-avoiding walks on hexagonal lattice from (0,0) to (2,2).at n=4A005553
- Numbers k such that k*3^k - 1 is prime.at n=13A006553
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=12A007374
- Coordination sequence T3 for Zeolite Code AEI.at n=36A008003
- Coordination sequence T1 for Zeolite Code LIO.at n=33A008129
- Coordination sequence T2 for Zeolite Code NAT.at n=32A008204
- Coordination sequence for CaF2(1), Ca position.at n=16A009923
- Triangle of coefficients in expansion of (1+3*x)^n.at n=48A013610
- Triangle of coefficients in expansion of (1+9x)^n.at n=38A013616
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=14A014573
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=24A015708
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=25A020696
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=12A022997
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=28A025409
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=30A025412
- a(n) = (n/(n+1)) * lcm(1,2,...,n+1).at n=8A025558
- a(n) = Sum_{k=0..2n} (k+1) * A026552(n, k).at n=6A027276
- Cube of lower triangular normalized binomial matrix.at n=51A027465