Properties of the Number 82428

Eighty-Two Thousand Four Hundred Twenty-Eight

Basics

Value: 82427 → 82428 → 82429

Parity: even

Prime: No

Previous Prime: 82421

Next Prime: 82457

Digit Sum: 24

Digital Root: 6

Palindrome: Yes

Factorization: 2 ² × 3 × 6869

Divisors: 1, 2, 3, 4, 6, 12, 6869, 13738, 20607, 27476

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000111111100

Octal: 240774

Duodecimal: 3B850

Hexadecimal: 141fc

Square: 6794375184

Square Root: 287.10276905665677

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 n such that n and φ(n) are both palindromes. A69747

Palindromes whose smallest palindromic proper multiple is the number concatenated with itself. A119368

Number of free midpoint-free polycubes of size n, identifying rotations and reflections. A368029

Consecutive states of the linear congruential pseudo-random number generator (2661·s + 36979) mod 175000 when started at s=1. A385361

Nontrivial palindromes k such that φ(k) is also a palindrome. A67723

First of three consecutive Ulam numbers (A002858) in arithmetic progression with difference 22. A68856

Numbers n such that φ(reversal(n)) = reversal(φ(n)). Ignore leading 0's. A69282

Expansion of g.f. A(x) satisfying A(x) = A( x²*(1+x)⁶ ) / x. A369556

a(1) = 1; a(n) = 3 + n * ∑_k=1..n-1 a(k). A82428

G.f. satisfies: [xⁿ] A(x)^n² = [xⁿ] A(x)^n²-1 for n>1 with A(0)=A'(0)=1. A237652