9,737,700

2² × 3 × 5² × 7 × 4637

9,737,700 factors as 2^2 × 3 × 5^2 × 7 × 4637. Its 72 positive divisors give a proper-divisor sum of 22,468,572, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7 × 4637

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 32,206,272

Proper Divisor Sum 22,468,572

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9737687 ← → #9737701

Radix Representation

Decimal	9737700
Binary	100101001001010111100100 (24 bits)
Octal	0o45112744
Hexadecimal	0x9495E4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1,050 2,100 4,637 9,274 13,911 18,548 23,185 27,822 32,459 46,370 55,644 64,918 69,555 92,740 97,377 115,925 129,836 139,110 162,295 194,754 231,850 278,220 324,590 347,775 389,508 463,700

Collatz Trajectory (238 steps to reach 1)

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

9,737,700 4,868,850 2,434,425 7,303,276 3,651,638 1,825,819 5,477,458 2,738,729 8,216,188 4,108,094 2,054,047 6,162,142 3,081,071 9,243,214 4,621,607 13,864,822 6,932,411 20,797,234 10,398,617 31,195,852 15,597,926 7,798,963 23,396,890 11,698,445 35,095,336 17,547,668 8,773,834 4,386,917 13,160,752 6,580,376 3,290,188 1,645,094 822,547 2,467,642 1,233,821 3,701,464 1,850,732 925,366 462,683 1,388,050 694,025 2,082,076 1,041,038 520,519 1,561,558 780,779 2,342,338 1,171,169 3,513,508 1,756,754 878,377 2,635,132 1,317,566 658,783 1,976,350 988,175 2,964,526 1,482,263 4,446,790 2,223,395

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