Properties of the Number 13420

Thirteen Thousand Four Hundred Twenty

Basics

Value: 13419 → 13420 → 13421

Parity: even

Prime: No

Previous Prime: 13417

Next Prime: 13421

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 11 × 61

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010001101100

Octal: 32154

Duodecimal: 7924

Hexadecimal: 346c

Square: 180096400

Square Root: 115.84472366059664

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

Numbers k such that k² divides 9^k - 1. A127101

Numbers k such that k² divides 3^k-1. A127103

Coefficients in expansion of ∑_{n >= 1} xⁿ/(1-xⁿ)⁴. A59358

Numbers k such that k³ divides 3^k² - 1. A129211

Number of degree-n even permutations of order dividing 10. A61132

Two-column table read by rows: Primitive distinct pairs that have the same value of φ, σ, and τ. A322688

a(n) = n·sigma₂(n). A328259

a(n) = (15·n² + 9·n + 2)/2. A220083

Recurrence a(n)*a(n-2) = a(n-1)*(a(n-1) + 3) with a(0) = 1, a(1) = 4. A182432

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096