Properties of the Number 3657

Three Thousand Six Hundred Fifty-Seven

Basics

Value: 3656 → 3657 → 3658

Parity: odd

Prime: No

Previous Prime: 3643

Next Prime: 3659

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 × 53

Divisors: 1, 3, 23, 53, 69, 159, 1219, 3657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001001001

Octal: 7111

Duodecimal: 2149

Hexadecimal: e49

Square: 13373649

Square Root: 60.473134530963414

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

Number of partitions of n into at least two distinct parts. A111133

Number of integer partitions of n such that it is not possible to choose a different prime factor of each part. A370593

a(n) = 2·n² + 3·n + 3. A33816

Generalized pentagonal numbers: a(n) = 12·n + 3·n*(n-1)/2. A151542

Values·for records of the minima of the positive distance d between the ninth power of a positive integer·and the square of an integer y such that d = x⁹ - y² (x <> k² and y <> k⁹). A179791

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302069

Numbers k such that p=k²+2 and p+2 are primes. A86381

a(n) = n*(7·n-2). A135703

Expansion of ( (1 + x)*(1 - 2·x)*(1 + 4·x) )^1/3. A370145

Numbers k with exactly three distinct prime factors and such that cototient(k) is a square. A306670