Properties of the Number 1935

One Thousand Nine Hundred Thirty-Five

Basics

Value: 1934 → 1935 → 1936

Parity: odd

Prime: No

Previous Prime: 1933

Next Prime: 1949

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 43

Divisors: 1, 3, 5, 9, 15, 43, 45, 129, 215, 387

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110001111

Octal: 3617

Duodecimal: 1153

Hexadecimal: 78f

Square: 3744225

Square Root: 43.98863489584554

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) = n*(n+2) = (n+1)² - 1. A5563

a(n) = 4·n² - 1. A466

a(n) = n² - 2·n. A67998

a(n) is the solution to the postage stamp problem with 4 denominations and n stamps. A1209

Toothpick sequence in the three-dimensional grid. A160160

a(0) = 0, a(1) = 1 and a(n) = n² - 1 with n >= 2. A132411

3 times octagonal numbers: a(n) = 3·n*(3·n-2). A152751

a(n) = ∑_k=0..n binomial(n,k) * binomial(4·k,k) / (3·k + 1). A346646

Number T(n,k) of multisets of exactly k nonempty binary words with a total of n letters such that no word has a majority of 0's; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A292506

Numbers k for which nontrivial positive magic squares of exactly 6 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125013