Properties of the Number 7405

Seven Thousand Four Hundred Five

Basics

Value: 7404 → 7405 → 7406

Parity: odd

Prime: No

Previous Prime: 7393

Next Prime: 7411

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 1481

Divisors: 1, 5, 1481, 7405

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011101101

Octal: 16355

Duodecimal: 4351

Hexadecimal: 1ced

Square: 54834025

Square Root: 86.05230967266364

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

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

a(n) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

Number of integer partitions of n with a difference < -1 and a conjugate difference < -1. A350839

Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing). A59618

Numbers k such that binomial(3k, k) + 1 is prime. A125221

Composite squarefree numbers n such that p + τ(n) divides n - φ(n), where p are the prime factors of n, τ(n) = A000005(n) and φ(n) = A000010(n). A229324

Partitions of n with parts having at most 3 distinct magnitudes. A309058

a(n) = 14·n² - 1. A158485

Number of regions in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A356984

The number of edges inside a pentagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. A329710