45,136

2⁴ × 7 × 13 × 31

45,136 has the prime decomposition 2^4 × 7 × 13 × 31. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 111,104

Proper Divisor Sum 65,968

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #45131 ← → #45137

Radix Representation

Decimal	45136
Binary	1011000001010000 (16 bits)
Octal	0o130120
Hexadecimal	0xB050

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1,456 1,612 1,736 2,821 3,224 3,472 5,642 6,448 11,284 22,568 45,136

Collatz Trajectory (39 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

45,136 22,568 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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