71,536

2⁴ × 17 × 263

71,536 factors as 2^4 × 17 × 263. Its 20 positive divisors give a proper-divisor sum of 75,776, so this integer is abundant. The Collatz stopping time is 50 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 147,312

Proper Divisor Sum 75,776

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #71527 ← → #71537

Radix Representation

Decimal	71536
Binary	10001011101110000 (17 bits)
Octal	0o213560
Hexadecimal	0x11770

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 263 272 526 1,052 2,104 4,208 4,471 8,942 17,884 35,768 71,536

Collatz Trajectory (50 steps to reach 1)

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

71,536 35,768 17,884 8,942 4,471 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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