Properties of the Number 4541

Four Thousand Five Hundred Forty-One

Basics

Value: 4540 → 4541 → 4542

Parity: odd

Prime: No

Previous Prime: 4523

Next Prime: 4547

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 19 × 239

Divisors: 1, 19, 239, 4541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1000110111101

Octal: 10675

Duodecimal: 2765

Hexadecimal: 11bd

Square: 20620681

Square Root: 67.38694235532579

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

Half the number of 3 X n binary arrays with a path of adjacent 1's and a path of adjacent 0's from top row to bottom row. A69396

Euler transform of σ(n), cf. A000203. A61256

Generalized 26-gonal (or icosihexagonal) numbers: m*(12·m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ... A316724

Number of strict integer partitions of n whose length (number of parts) can be written as a nonnegative linear combination of the parts. A367220

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

Number of rectangular plane partitions of n. A323429

Number of ways to split a strict integer partition of n into contiguous subsequences all having different sums. A336132

Positions of ones in A264977; positions of twos in A277330. A277701

a(n) is the conjectured highest power of n which has no four identical digits in succession. A216065

Numbers k such that ∑_j=1..k j^φ(j) == 0 (mod k). A227429