Properties of the Number 4564

Four Thousand Five Hundred Sixty-Four

Basics

Value: 4563 → 4564 → 4565

Parity: even

Prime: No

Previous Prime: 4561

Next Prime: 4567

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 163

Divisors: 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111010100

Octal: 10724

Duodecimal: 2784

Hexadecimal: 11d4

Square: 20830096

Square Root: 67.55738301621814

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

Number of partitions of n into relatively prime parts. Also aperiodic partitions. A837

-1 + number of partitions of n. A65

Third spoke of a hexagonal spiral. A56107

Number of integer partitions of n whose product of parts is not n. A379736

Number of integer partitions of n that cannot be partitioned into two or more blocks with equal sums. A321451

14-gonal (or tetradecagonal) numbers: a(n) = n*(6·n-5). A51866

Preperiod (or threshold) of orbit of Post's {00, 1101} tag system applied to the word (100)ⁿ, or -1 if this word has an unbounded trajectory. A284119

a(n) = n*(5·n² - 2)/3. A4466

Numbers m such that there are precisely 9 groups of order m. A249552

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * R_k(y)^n·k for n>=0, with R₀(y) = 1/(1-y). A124530