Properties of the Number 18361

Eighteen Thousand Three Hundred Sixty-One

Basics

Value: 18360 → 18361 → 18362

Parity: odd

Prime: No

Previous Prime: 18353

Next Prime: 18367

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 43 × 61

Divisors: 1, 7, 43, 61, 301, 427, 2623, 18361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 100011110111001

Octal: 43671

Duodecimal: A761

Hexadecimal: 47b9

Square: 337126321

Square Root: 135.5027674994131

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

Values of n such that L(12) and N(12) 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. A227515

Pseudoprimes to base 6. A5937

Number of nonnegative solutions to x² + y² + z² <= n². A604

Triangle T(n,k) read by rows of the smallest n-gonal number greater than 1 that is also k-gonal, or 0 if none exists, for 3 <= k <= n. A189216

Euler pseudoprimes to base 6: composite integers such that abs(6^{(n - 1}/2)) == 1 mod n. A262053

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192

L.g.f.: ∑_n=-oo..+oo (x - x^2·n-1)^2·n-1 / (2·n-1). A293129

Heptagonal numbers (A000566) in which parity of digits alternates. A297646

Indices k such that A377091(k) is immediately followed by A377091(k+1) = -A377091(k). A379802

Gaps of 9 in sequence A038593 (upper terms). A38658