9,739,638

2 × 3² × 71 × 7621

9,739,638 factors as 2 × 3^2 × 71 × 7621. Its 24 positive divisors give a proper-divisor sum of 11,662,938, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 71 × 7621

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,402,576

Proper Divisor Sum 11,662,938

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9739559 ← → #9739643

Radix Representation

Decimal	9739638
Binary	100101001001110101110110 (24 bits)
Octal	0o45116566
Hexadecimal	0x949D76

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

9,739,638 4,869,819 14,609,458 7,304,729 21,914,188 10,957,094 5,478,547 16,435,642 8,217,821 24,653,464 12,326,732 6,163,366 3,081,683 9,245,050 4,622,525 13,867,576 6,933,788 3,466,894 1,733,447 5,200,342 2,600,171 7,800,514 3,900,257 11,700,772 5,850,386 2,925,193 8,775,580 4,387,790 2,193,895 6,581,686 3,290,843 9,872,530 4,936,265 14,808,796 7,404,398 3,702,199 11,106,598 5,553,299 16,659,898 8,329,949 24,989,848 12,494,924 6,247,462 3,123,731 9,371,194 4,685,597 14,056,792 7,028,396 3,514,198 1,757,099 5,271,298 2,635,649 7,906,948 3,953,474 1,976,737 5,930,212 2,965,106 1,482,553 4,447,660 2,223,830

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