2320
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 5580
- Proper Divisor Sum (Aliquot Sum)
- 3260
- 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
- 896
- Möbius Function
- 0
- Radical
- 290
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- Numbers that are the sum of 10 positive 6th powers.at n=32A003366
- Numbers that are the sum of 7 positive 7th powers.at n=9A003374
- Numbers that are the sum of at most 7 positive 7th powers.at n=48A004869
- Egyptian fractions: number of solutions to 1 = 1/x_1 + ... + 1/x_n in positive integers x_1 < ... < x_n.at n=5A006585
- Coordination sequence T3 for Zeolite Code EUO.at n=30A008098
- Numbers n such that phi(n) * sigma(n) + 16 is a perfect square.at n=41A015729
- Numbers n such that n is a substring of its square when both are written in base 2.at n=36A018826
- Numbers n such that n is a substring of its square in base 8 (written in base 10).at n=10A018832
- a(n) = (d(n)-r(n))/2, where d = A026049 and r is the periodic sequence with fundamental period (1,0,0,1).at n=19A026050
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=20A026064
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4, s(n) = 1. Also a(n) = T(n,n-1), where T is the array defined in A026082.at n=6A026084
- Theta series of 6-dimensional extremal 5-modular lattice Q6(4)^{+2}.at n=42A029721
- Numbers with 20 divisors.at n=32A030638
- Least term in period of continued fraction for sqrt(n) is 6.at n=17A031430
- Numbers whose set of base-12 digits is {1,4}.at n=19A032824
- Expansion of Product_{d | 24} theta_3(q^d).at n=42A033736
- Partial sums of Fibonacci-lucky numbers.at n=43A039677
- Numbers having three 4's in base 6.at n=30A043387
- Numbers k such that string 2,0 occurs in the base 8 representation of k but not of k-1.at n=41A044203
- Numbers n such that string 4,2 occurs in the base 8 representation of n but not of n-1.at n=40A044221