9,753,738

2 × 3 × 97 × 16759

9,753,738 factors as 2 × 3 × 97 × 16759. Its 16 positive divisors give a proper-divisor sum of 9,956,022, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 16759

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,709,760

Proper Divisor Sum 9,956,022

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9753721 ← → #9753739

Radix Representation

Decimal	9753738
Binary	100101001101010010001010 (24 bits)
Octal	0o45152212
Hexadecimal	0x94D48A

Divisor Catalog (16)

1 2 3 6 97 194 291 582 16,759 33,518 50,277 100,554 1,625,623 3,251,246 4,876,869 9,753,738

Collatz Trajectory (145 steps to reach 1)

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

9,753,738 4,876,869 14,630,608 7,315,304 3,657,652 1,828,826 914,413 2,743,240 1,371,620 685,810 342,905 1,028,716 514,358 257,179 771,538 385,769 1,157,308 578,654 289,327 867,982 433,991 1,301,974 650,987 1,952,962 976,481 2,929,444 1,464,722 732,361 2,197,084 1,098,542 549,271 1,647,814 823,907 2,471,722 1,235,861 3,707,584 1,853,792 926,896 463,448 231,724 115,862 57,931 173,794 86,897 260,692 130,346 65,173 195,520 97,760 48,880 24,440 12,220 6,110 3,055 9,166 4,583 13,750 6,875 20,626 10,313

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