Properties of the Number 40333

Forty Thousand Three Hundred Thirty-Three

Basics

Value: 40332 → 40333 → 40334

Parity: odd

Prime: No

Previous Prime: 40289

Next Prime: 40343

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 53 × 761

Divisors: 1, 53, 761, 40333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110110001101

Octal: 116615

Duodecimal: 1B411

Hexadecimal: 9d8d

Square: 1626750889

Square Root: 200.83077453418338

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

Least k > 0 such that gcd(kⁿ+2, (k+1)ⁿ+2) > 1, or 0 if there is no such k. A255852

Least m > 0 such that gcd(m²ⁿ⁺¹+2, (m+1)²ⁿ⁺¹+2) > 1. A255832

The number of distinct positions on an infinite chessboard reachable by the (2,3)-leaper (or zebra) in at most n moves. A297740

Numerators of continued fraction convergents to sqrt(996). A42928

Expansion of 1/sqrt(1-2x-11x²+12x³). A98478

a(n) = 3·a(n-1) - 2·a(n-2) - a(n-4) + a(n-5) with initial terms 1, 1, 1, 3, 6. A196787

G.f. satisfies A(x) = (1 + x)⁴ + x·A(x)⁴. A366700

Numbers k such that the continued fraction for sqrt(k) has period 83. A20422

Factor balanced numbers (Cf. A343153) when starting from 2. A343186

a(n) = ∑_d∣n (d + n/d - 2)!/(d - 1)!. A358410