Properties of the Number 4267

Four Thousand Two Hundred Sixty-Seven

Basics

Value: 4266 → 4267 → 4268

Parity: odd

Prime: No

Previous Prime: 4261

Next Prime: 4271

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 × 251

Divisors: 1, 17, 251, 4267

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010101011

Octal: 10253

Duodecimal: 2577

Hexadecimal: 10ab

Square: 18207289

Square Root: 65.32227797620043

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

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

Numbers n such that 97 is the largest prime factor of n² - 1. A181470

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

Number of polyominoes with n cells whose symmetry group (excluding reflections) has order at least 2. A144554

Expansion of ∏_k>=1 (1 + x^k)^φ(k), where φ() is the Euler totient function (A000010). A299069

Numerator of ∑_k=1..n 1/φ(k). A28415

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n). A126587

Expansion of ∏_k>=1 1/(1 - x^2·k+1)^k. A263150

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302670