Properties of the Number 42770

Forty-Two Thousand Seven Hundred Seventy

Basics

Value: 42769 → 42770 → 42771

Parity: even

Prime: No

Previous Prime: 42767

Next Prime: 42773

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 7 × 13 × 47

Divisors: 1, 2, 5, 7, 10, 13, 14, 26, 35, 47

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100010010

Octal: 123422

Duodecimal: 20902

Hexadecimal: a712

Square: 1829272900

Square Root: 206.80909070928192

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

Row 3 of A007754. A58794

Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x·T_m-1(x) - T_m-2(x), m >= 2, T₀(x) = 2, T₁(x) = x (dilated Chebyshev polynomials of the first kind). A299071

a(n) = n³ - 3·n. A121670

Binomial transform of [1, 7, 17, 17, 6, 0, 0, 0, ...]. A132117

Expansion of (4 + 15·x - 35·x² + 20·x³ - 2·x⁵)/(1 - x)⁵. A257600

a(n) = (n⁴ + 20·n³ + 125·n² + 250·n + 24)/12. A257601

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-1), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A296289

Coefficient of xⁿ in the expansion of 1 / (1-x-x²)^2·n. A370617

Number of 0..3 arrays x(0..n-1) of n elements with each no smaller than the sum of its four previous neighbors modulo 4. A200464

Even numbers m such that the sum of the squares of the odd divisors and the sum of the squares of even divisors of m are both squares. A380742