Properties of the Number 21303

Twenty-One Thousand Three Hundred Three

Basics

Value: 21302 → 21303 → 21304

Parity: odd

Prime: No

Previous Prime: 21283

Next Prime: 21313

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 263

Divisors: 1, 3, 9, 27, 81, 263, 789, 2367, 7101, 21303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001100110111

Octal: 51467

Duodecimal: 103B3

Hexadecimal: 5337

Square: 453817809

Square Root: 145.9554726620417

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Terms of A177763 which have more than one such representation. A177766

Numbers k such that the first 9 decimal digits of the k-th Fibonacci number is 1-9 pandigital. A112516

Expansion of 1/((1 - x)*(2 - theta₂(sqrt(x))/(2·x^1/8))), where theta₂() is the Jacobi θ function. A303668

Expansion of (χ(x) / χ(-x⁶))² in powers of·where χ() is a Ramanujan θ function. A328790

Expansion of e.g.f. 1/(1 - (exp(x) - 1)/(1 - (exp(x) - 1)²/(1 - (exp(x) - 1)³/(1 - ...)))), a continued fraction. A301921

Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2}, having k isolated 0's (n >= 0, k >= 0). A120924

Number of ternary words on {0,1,2} having no isolated 0's. A120925

Number of binary strings of length n with no substrings equal to 0001, 0100, or 1110. A164468

Number of 7X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 7 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192707

Number of bipartite partitions. A2765