Properties of the Number 42470

Forty-Two Thousand Four Hundred Seventy

Basics

Value: 42469 → 42470 → 42471

Parity: even

Prime: No

Previous Prime: 42467

Next Prime: 42473

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 31 × 137

Divisors: 1, 2, 5, 10, 31, 62, 137, 155, 274, 310

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010111100110

Octal: 122746

Duodecimal: 206B2

Hexadecimal: a5e6

Square: 1803700900

Square Root: 206.082507748717

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

a(n) = ∏_d∣n prime(d). A275700

G.f.: A(x) = F(x·G(x)²)³ where F(x) = G(x·F(x)) = 1 + x·F(x)³ is the g.f. of A001764 and G(x) = F(x/G(x)) = 1 + x·G(x)² is the g.f. of A000108 (Catalan). A153394

a(n) = 5*(n+1)*(9·n+4). A304507

Numbers n such that 5·10ⁿ + 7·R_n - 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103019

Number of n X n 0..2 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 3. A240033

T(n,k)=Number of nXk 0..2 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 3. A240039

Numerators of continued fraction convergents to sqrt(763). A42470