9,737,382

2 × 3 × 79 × 20543

For 9,737,382, the 16 positive divisors have a total of 19,722,240. Removing 9,737,382 leaves 9,984,858, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 79 × 20543

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,722,240

Proper Divisor Sum 9,984,858

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9737341 ← → #9737383

Radix Representation

Decimal	9737382
Binary	100101001001010010100110 (24 bits)
Octal	0o45112246
Hexadecimal	0x9494A6

Divisor Catalog (16)

1 2 3 6 79 158 237 474 20,543 41,086 61,629 123,258 1,622,897 3,245,794 4,868,691 9,737,382

Collatz Trajectory (238 steps to reach 1)

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

9,737,382 4,868,691 14,606,074 7,303,037 21,909,112 10,954,556 5,477,278 2,738,639 8,215,918 4,107,959 12,323,878 6,161,939 18,485,818 9,242,909 27,728,728 13,864,364 6,932,182 3,466,091 10,398,274 5,199,137 15,597,412 7,798,706 3,899,353 11,698,060 5,849,030 2,924,515 8,773,546 4,386,773 13,160,320 6,580,160 3,290,080 1,645,040 822,520 411,260 205,630 102,815 308,446 154,223 462,670 231,335 694,006 347,003 1,041,010 520,505 1,561,516 780,758 390,379 1,171,138 585,569 1,756,708 878,354 439,177 1,317,532 658,766 329,383 988,150 494,075 1,482,226 741,113 2,223,340

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