9,753,750

2 × 3³ × 5⁴ × 17²

9,753,750 factors as 2 × 3^3 × 5^4 × 17^2. Its 120 positive divisors give a proper-divisor sum of 19,018,290, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5^4 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 28,772,040

Proper Divisor Sum 19,018,290

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9753739 ← → #9753761

Radix Representation

Decimal	9753750
Binary	100101001101010010010110 (24 bits)
Octal	0o45152226
Hexadecimal	0x94D496

Divisor Catalog (60 of 120)

1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 125 135 150 153 170 225 250 255 270 289 306 375 425 450 459 510 578 625 675 750 765 850 867 918 1,125 1,250 1,275 1,350 1,445 1,530 1,734 1,875 2,125 2,250 2,295 2,550 2,601 2,890

Collatz Trajectory (145 steps to reach 1)

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

9,753,750 4,876,875 14,630,626 7,315,313 21,945,940 10,972,970 5,486,485 16,459,456 8,229,728 4,114,864 2,057,432 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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