Properties of the Number 12441

Twelve Thousand Four Hundred Forty-One

Basics

Value: 12440 → 12441 → 12442

Parity: odd

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 13 × 29

Divisors: 1, 3, 11, 13, 29, 33, 39, 87, 143, 319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010011001

Octal: 30231

Duodecimal: 7249

Hexadecimal: 3099

Square: 154778481

Square Root: 111.53923076657827

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

Numbers k such that σ(k) = σ(k+13). A15883

a(n) = n*(8·n+7). A139278

Triangle T(n,k), n>=0, 0<=k<=n, read by rows: row n is the inverse binomial transform of the n-th row of array A255961, which has the Euler transform of (j->j·k) in column k. A257673

A statistic on orbital systems over n sectors: the number of orbitals with k restarts. A274880

Numbers k such that the central binomial coefficient C(2k,k) is divisible by k². A121943

Number of linear intervals in the Tamari lattices. A344136

Numbers n such that σ(n) = 3*φ(n). A68391

Numbers m such that [A070080(m), A070081(m), A070082(m)] is a right integer triangle. A70136

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237904

Array read by antidiagonals: T(n,k) is the number of noncrossing k-gonal cacti with n polygons up to rotation and reflection. A361239