Properties of the Number 12428

Twelve Thousand Four Hundred Twenty-Eight

Basics

Value: 12427 → 12428 → 12429

Parity: even

Prime: No

Previous Prime: 12421

Next Prime: 12433

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13 × 239

Divisors: 1, 2, 4, 13, 26, 52, 239, 478, 956, 3107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010001100

Octal: 30214

Duodecimal: 7238

Hexadecimal: 308c

Square: 154455184

Square Root: 111.48094007497426

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

Sum of all parts of all partitions of n that do not contain 1 as a part. A138880

Sum of quadratic residues of (n-th prime == 3 mod 4). A282035

Number of necklace compositions of n with no part circularly followed by a divisor or a multiple. A328601

T(n,k)=Number of nXk 0..5 arrays with no element equal to another within a city block distance of two, and new values 0..5 introduced in row major order. A206396

Expansion of (3 + x²) / (1 - x)⁴. A37237

Sum of parts in all partitions of 2n that do not contain 1 as a part. A182736

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p. A282041

Third left hand column of triangle A163940. A163943

a(n) = ∑_{k=0..floor(n/4)} binomial(2·k,k) * binomial(n-1,n-4·k). A393275

Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n. A241526