Properties of the Number 45355

Forty-Five Thousand Three Hundred Fifty-Five

Basics

Value: 45354 → 45355 → 45356

Parity: odd

Prime: No

Previous Prime: 45343

Next Prime: 45361

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 47 × 193

Divisors: 1, 5, 47, 193, 235, 965, 9071, 45355

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011000100101011

Octal: 130453

Duodecimal: 222B7

Hexadecimal: b12b

Square: 2057076025

Square Root: 212.96713361455565

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

Numbers n such that σ(n+1) - σ(n-1) = k·n for some integer k, where σ(n) = A000203 (sum of divisors of n). A223137

Number of ascent sequences of length n with exactly seven descents. A241877

Indices of record values in A266948: least prime p such that p-2 and 6n-p are also prime. A266950

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 37 ones. A31805

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111. A260063

Primes congruent to {2, 5, 7} mod 8. A45355

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111. A260070