Properties of the Number 10306

Ten Thousand Three Hundred Six

Basics

Value: 10305 → 10306 → 10307

Parity: even

Prime: No

Previous Prime: 10303

Next Prime: 10313

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5153

Divisors: 1, 2, 5153, 10306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001000010

Octal: 24102

Duodecimal: 5B6A

Hexadecimal: 2842

Square: 106213636

Square Root: 101.51847122568385

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

Number of integer partitions of n that can be partitioned into distinct pairs of distinct parts, i.e., into a set of edges. A339560

Expansion of x⁹/((1-x)*(1-x²)*(1-x³))². A117485

Octo numbers (a polygonal sequence): a(n) = 5·n² - 6·n + 2 = (n-1)² + (2·n-1)². A79273

(100ⁿ,1) Pascal triangle. A164847

G.f.: ∑_k>=0 2^k * x^k*(k+1) / ∏_j=1..k (1 - x^j). A376947

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100. A31598

Numbers k such that k and k² use only the digits 0, 1, 2, 3 and 6. A136812

G.f. := (1-sqrt(1-4·x+4·x²-4·x³))/(2(1-x+x²)x). A152171

Numbers n such that 8ⁿ - 5 is prime. A217356

Number of achiral trees with n nodes. A5629