Properties of the Number 3667

Three Thousand Six Hundred Sixty-Seven

Basics

Value: 3666 → 3667 → 3668

Parity: odd

Prime: No

Previous Prime: 3659

Next Prime: 3671

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 193

Divisors: 1, 19, 193, 3667

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001010011

Octal: 7123

Duodecimal: 2157

Hexadecimal: e53

Square: 13446889

Square Root: 60.55575942881073

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

Inverse binomial transform of primes. A7442

Second heptagonal numbers: a(n) = n*(5·n+3)/2. A147875

Number of planar partitions of n where parts strictly decrease along each row and column. A114736

Values of n such that L(20) and N(20) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227523

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303084

a(n) = A052217(n)/3. A88405

Numbers of the form (10^a + 10^b + 1)/3. A237424

a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2). A78414

Numbers k such that 29^k + 2 is prime. A87886

Number of partitions of n into 3-smooth parts. A105420