Properties of the Number 1463

One Thousand Four Hundred Sixty-Three

Basics

Value: 1462 → 1463 → 1464

Parity: odd

Prime: No

Previous Prime: 1459

Next Prime: 1471

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 11 × 19

Divisors: 1, 7, 11, 19, 77, 133, 209, 1463

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110111

Octal: 2667

Duodecimal: A1B

Hexadecimal: 5b7

Square: 2140369

Square Root: 38.24918299781056

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

Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n. A6128

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=1} (n+1-i)*(n+1-j). A115004

a(n) = n*(4·n+1). A7742

Coordination sequence for "hal" 3D uniform tiling. A299274

Expansion of g.f. x*(1 + 3·x)/((1 + x)*(1 - x)³). A35608

Number of partition into distinct parts (a₁, a₂, ... , a_m) (a₁ > a₂ > ... > a_m and ∑_k=1..m a_k = n) such that a1 - a2, a2 - a₃, ... , a_m-1 - a_m, a_m are different. A320348

Even triangular numbers halved. A74378

Numbers that are the sum of 7 positive 6th powers. A3363

Number of planar partitions of n where parts strictly decrease along each row and column. A114736

a(n) = n³ + n² + n. A27444