Properties of the Number 45643

Forty-Five Thousand Six Hundred Forty-Three

Basics

Value: 45642 → 45643 → 45644

Parity: odd

Prime: No

Previous Prime: 45641

Next Prime: 45659

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 3511

Divisors: 1, 13, 3511, 45643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001001001011

Octal: 131113

Duodecimal: 224B7

Hexadecimal: b24b

Square: 2083283449

Square Root: 213.64222429098606

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

Wieferich numbers (1): n > 1 such that 2^A000010(n) == 1 (mod n²). A77816

Total number of parts which are positive powers of 2 in all partitions of n. A73119

Numbers m such that m² divides 2^k - 1 for some k, 0 < k <= m. A246503

Positions of new record minima A372935 in A071961. A372936

Number of nX3 0..1 arrays with every element unequal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317736

Numbers n > 1 such that 2^m == 1 (mod n²), where m = A002326((n-1)/2). A265630

Numbers n > 1 such that 2^λ(n) == 1 (mod n²), where λ(n) is the Carmichael λ function (A002322). A291961

Palindromic and divisible by 8. A45643

G.f. A(x) satisfies [xⁿ] 1/A(x)ⁿ⁺¹ = [xⁿ] 1/A(x)^2·n+2 for n > 1, with A'(0) = 1. A383375

G.f. satisfies A(x) = 1 + x·A(x)³ + x⁵*A(x)¹³. A216493