Properties of the Number 5447

Five Thousand Four Hundred Forty-Seven

Basics

Value: 5446 → 5447 → 5448

Parity: odd

Prime: No

Previous Prime: 5443

Next Prime: 5449

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 419

Divisors: 1, 13, 419, 5447

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010101000111

Octal: 12507

Duodecimal: 319B

Hexadecimal: 1547

Square: 29669809

Square Root: 73.80379394042016

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(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

G.f. A(x) satisfies A(x) = (1 + x·A(x))*(1 + x³*A(x)⁴). A198888

Inverse Euler transform of the sum-of-divisors or σ function A000203. A320780

Number of partitions of n having no parts with multiplicity 10. A184645

G.f. satisfies: A(x) = 1/(1 + x·A(x⁸)) and also the continued fraction: 1 + x·A(x⁹) = [1; 1/x, 1/x⁸, 1/x⁶⁴, 1/x⁵¹², ..., 1/x^{8^(n-1}), ...]. A101918

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240260

Matrix 10th power of partition triangle A008284. A50304

Principal diagonal of the convolution array A213836. A213837

G.f.: exp( ∑_n>=1 xⁿ/n * ∏_k>=1 1/(1 - x^n·k*(1 + x^k)ⁿ) ). A218575

Numbers k whose binary expansion contains 2 adjacent 1's and A391571(k) = k. A391581