Properties of the Number 13847

Thirteen Thousand Eight Hundred Forty-Seven

Basics

Value: 13846 → 13847 → 13848

Parity: odd

Prime: No

Previous Prime: 13841

Next Prime: 13859

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 61 × 227

Divisors: 1, 61, 227, 13847

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000010111

Octal: 33027

Duodecimal: 801B

Hexadecimal: 3617

Square: 191739409

Square Root: 117.67327649045896

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

Composite numbers generated by the Euler polynomial x² + x + 41. A145292

Semiprimes generated by the Euler polynomial x² + x + 41. A228183

a(n) = n * ∑_d∣n σ(d)³ / d. A344043

G.f. A(x) satisfies A(x) = 1/( 1 - x*(A(x) + A(3·x))/2 ). A385622

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones. A31787

Upper members of a "good pair" of the form (k, 2·k +- 1). A46862

Expansion of (7 +4·x -5·x² -7·x³) / ((1-x)*(1-x²-x³)). A103485

Numbers n with property that n² is a concatenation of three 3-digit primes. A153139

Number of (n+1) X (3+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258549

Integers k such that 3·k!!! - 1 is prime where k!!! is A007661(k). A271396