Properties of the Number 3661

Three Thousand Six Hundred Sixty-One

Basics

Value: 3660 → 3661 → 3662

Parity: odd

Prime: No

Previous Prime: 3659

Next Prime: 3671

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 523

Divisors: 1, 7, 523, 3661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001001101

Octal: 7115

Duodecimal: 2151

Hexadecimal: e4d

Square: 13402921

Square Root: 60.50619802962338

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) = 4·n² - 6·n + 3. A54569

Numbers k giving rise to prime quadruples (30k+11, 30k+13, 30k+17, 30k+19). A14561

Number of "ON" cells at n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition). A160118

Triangle read by rows of differences of reciprocals of unity. A8969

a(n) = 9·n² + 3·n + 1. A82040

a(n) = A341529(n) - A341528(n) = (σ(n)*A003961(n)) - (n*σ(A003961(n))). A341512

Triangle from inverse scaled Pochhammer symbols. A112492

Expansion of e.g.f. exp(x * (1+x)²). A361278

Number of integer partitions of n whose maximal anti-runs do not all have different maxima. A375401

Number of partitions of 2n into parts such that the largest multiplicity equals n. A232697