Properties of the Number 45596

Forty-Five Thousand Five Hundred Ninety-Six

Basics

Value: 45595 → 45596 → 45597

Parity: even

Prime: No

Previous Prime: 45589

Next Prime: 45599

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 11399

Divisors: 1, 2, 4, 11399, 22798, 45596

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001000011100

Octal: 131034

Duodecimal: 22478

Hexadecimal: b21c

Square: 2078995216

Square Root: 213.53219897710977

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

Numerator of -3·n + 2*(1+n)*HarmonicNumber(n). A93418

Sum of previous term and preceding relatively prime terms. A119746

Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its west, northeast or northwest neighbor modulo 3 and the upper left element equal to 0. A266995

a(n) = (n-1)*(n-2)⁴ - A028294(n), for n > 4, with a(1) = a(2) = 0, a(3) = 2, and a(4) = 48. A75690

Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260290

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260293

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001001. A260294

Numbers k that divide 7^k + 5^k. A45596

Number of nX5 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278277