Properties of the Number 47403

Forty-Seven Thousand Four Hundred Three

Basics

Value: 47402 → 47403 → 47404

Parity: odd

Prime: No

Previous Prime: 47389

Next Prime: 47407

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 229

Divisors: 1, 3, 9, 23, 69, 207, 229, 687, 2061, 5267

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1011100100101011

Octal: 134453

Duodecimal: 23523

Hexadecimal: b92b

Square: 2247044409

Square Root: 217.7223001899438

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

G.f. A(x) satisfies A(x) = 1 + x*(1+x³)³*A(x)³. A389891

Coefficients in an expansion of the trace of the log of the adjacency operator on the infinite grid Z·Z. A241587

Heptagonal numbers for which the sum of the digits is also a heptagonal number. A117650

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384982. A384985

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 0, 1), (1, -1, 1), (1, 1, -1)}. A148419

Numbers that are congruent to {0, 2, 3, 6} mod 8. A47403