Properties of the Number 35770

Thirty-Five Thousand Seven Hundred Seventy

Basics

Value: 35769 → 35770 → 35771

Parity: even

Prime: No

Previous Prime: 35759

Next Prime: 35771

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 7 ² × 73

Divisors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 73

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101110111010

Octal: 105672

Duodecimal: 1884A

Hexadecimal: 8bba

Square: 1279492900

Square Root: 189.12958520548815

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

Triangle read by rows: T(n,k) = (2ⁿ⁺¹-1)*binomial(n,k). A134346

G.f. B(x) satisfies: B(x) = x + 2·A(x)*C(x), where A(x) = x + C(x)*B(x) and C(x) = x + 3·A(x)*B(x). A229812

Numbers k such that the sum of the proper divisors of k that have the same binary weight as k is larger than k, and no subset of these divisors sums to k. A381071

T(n, k) = [x^k] (1/2 - x)^-n - (1 - x)^-n. A356117

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having abscissa of the first peak equal to k. A108438

Coordination sequence for C₃₃ lattice. A35770