Properties of the Number 1464

One Thousand Four Hundred Sixty-Four

Basics

Value: 1463 → 1464 → 1465

Parity: even

Prime: No

Previous Prime: 1459

Next Prime: 1471

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 61

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110111000

Octal: 2670

Duodecimal: A20

Hexadecimal: 5b8

Square: 2143296

Square Root: 38.262252939417984

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

a(n) = (11ⁿ⁺¹ - 1)/10. A16123

a(n) = number of solid (i.e., three-dimensional) partitions of n. A293

Coordination sequence for "tsi" 3D uniform tiling. A299289

G.f.: ∏_{n >= 0} (1+x²ⁿ⁺¹)/(1-x²ⁿ⁺¹). A80054

a(n) = 4·n² - 7·n + 4. A54567

a(n) = n³ + n² + n + 1. A53698

One of many square spiral sequences: a(n) = n² + n - floor((n-1)/2). A317186

Numbers that are the sum of 8 positive 6th powers. A3364

Generalized 24-gonal (or icositetragonal) numbers: m*(11·m - 10) with m = 0, +1, -1, +2, -2, +3, -3, ... A303814

Square array A(n,k) = A017665(A246278(n,k)), read by falling antidiagonals; numerator of the abundancy index as applied onto prime shift array A246278. A341605