Properties of the Number 1564

One Thousand Five Hundred Sixty-Four

Basics

Value: 1563 → 1564 → 1565

Parity: even

Prime: No

Previous Prime: 1559

Next Prime: 1567

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 × 23

Divisors: 1, 2, 4, 17, 23, 34, 46, 68, 92, 391

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011100

Octal: 3034

Duodecimal: AA4

Hexadecimal: 61c

Square: 2446096

Square Root: 39.54743986657038

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 for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes. A7811

Pentagonal numbers multiplied by 2: a(n) = n*(3·n-1). A49450

Consider n equally spaced points along a line and join every pair of points by a semicircle above the line; a(n) is the number of intersection points. A290447

Number of strict integer partitions of n containing the sum of no subset of the parts. A364349

Q-toothpick sequence (see Comments for precise definition). A187210

Number of partitions of n into composite parts. A23895

Number of non-isomorphic weight-n antichains of (not necessarily distinct) multisets whose dual is also an antichain of (not necessarily distinct) multisets. A318099

Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)²/4) (i.e., A000217(n) + A002620(n+1)). A1859

a(n) = -2·n² + 12·n - 14. A147973

Number of non-self-conjugate partitions of n. A330644