Properties of the Number 12307

Twelve Thousand Three Hundred Seven

Basics

Value: 12306 → 12307 → 12308

Parity: odd

Prime: No

Previous Prime: 12301

Next Prime: 12323

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 31 × 397

Divisors: 1, 31, 397, 12307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000010011

Octal: 30023

Duodecimal: 7157

Hexadecimal: 3013

Square: 151462249

Square Root: 110.93691901256317

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

Limiting reverse row of the array A274190. A274199

Number of solutions to c(1)*prime(4) + c(2)*prime(5) + ... + c(2n-1)*prime(2n+2) = -1, where c(i) = +-1 for i>1, c(1) = 1. A261045

a(n) = A000041(n) - A032741(n). A167934

Numbers k such that k and 8·k, taken together, are pandigital. A114126

Numerator of b(n) = n * ∑_{k=2ⁿ..2ⁿ⁺¹-1} (-1)^k/k. A73099

a(n) is the smallest number m from A173977 for which A020639(2m-1) = prime(n). A173979

Irregular triangular array T; row n shows the coefficients of the (n-1)-st polynomial in the obverse convolution s(x)**t(x), where s(x) = n² x and t(x) = x+1. See Comments. A375041

Denominators of continued fraction convergents to sqrt(656). A42261

Composite numbers such that all divisors >1 have the same number of 1's in binary representation. A89042

a(n) = ∑_{k=0..floor(n/5)} binomial(2·k,k) * binomial(n-2·k,3·k). A393247