Properties of the Number 17420

Seventeen Thousand Four Hundred Twenty

Basics

Value: 17419 → 17420 → 17421

Parity: even

Prime: No

Previous Prime: 17419

Next Prime: 17431

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 13 × 67

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100010000001100

Octal: 42014

Duodecimal: A0B8

Hexadecimal: 440c

Square: 303456400

Square Root: 131.98484761517133

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·for records of the minima of the positive distance d between the eleventh power of a positive integer·and the square of an integer y such that d = x¹¹ - y² (x <> k² and y <> k¹¹). A179794

a(n) = 16·n² - 4. A158443

The 3rd Hermite Polynomial evaluated at n: H₃(n) = 8·n³ - 12·n. A163322

Denominators of continued fraction convergents to sqrt(68). A41119

Denominators of continued fraction convergents to sqrt(612). A42175

a(n) is the greatest nonnegative number which has a partition into a triangular number (A000217), a square number (A000290), and a pentagonal number (A000326) in n different ways. A327792

a(n) = Hermite(n,13). A158542

Numbers n such that σ(λ(n)) = λ(σ(n)). A173942

Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 67, the third irregular prime. A93059

The number of ways of writing n as an ordered sum of a triangular number (A000217), a square (A000290) and a pentagonal number (A000326). A240088