Properties of the Number 42924

Forty-Two Thousand Nine Hundred Twenty-Four

Basics

Value: 42923 → 42924 → 42925

Parity: even

Prime: No

Previous Prime: 42923

Next Prime: 42929

Digit Sum: 21

Digital Root: 3

Palindrome: Yes

Factorization: 2 ² × 3 × 7 ² × 73

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1010011110101100

Octal: 123654

Duodecimal: 20A10

Hexadecimal: a7ac

Square: 1842469776

Square Root: 207.18108021728239

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

Palindromes with exactly 6 prime factors (counted with multiplicity). A46332

Palindromes n with the property that for some prime p, n = p + prime(p). A155214

Palindromic numbers which are sum of consecutive squares. A180436

Numbers k such that σ(k - 2) = σ(k + 2). A223091

Let v = (1,4,9,...,n²), x = (0,1,2,4,6,...) [first n terms of A002620]; a(n) = v.v·x.x - (v.x)². A60452

A sequence derived from pentagonal numbers, or a Stirling number of the first kind matrix. A94952

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the matrix at A204112, given by f(i,j) = gcd(F(i+1), F(j+1)), where F=A000045 (Fibonacci numbers). A204113

Palindromic numbers which can be written as the sum of two or more consecutive squares. A216446

Numbers n such that n⁶ + 545 is prime. A163592

a(n) is the odd-length palindrome whose digits up to the center are those of n and whose center digit is equal to the digital root of the product of the factorial of n and the reverse of n. A82941