9,282,680

2³ × 5 × 11 × 17² × 73

9,282,680 factors as 2^3 × 5 × 11 × 17^2 × 73. Its 96 positive divisors give a proper-divisor sum of 15,252,760, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17^2 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,535,440

Proper Divisor Sum 15,252,760

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9282677 ← → #9282701

Radix Representation

Decimal	9282680
Binary	100011011010010001111000 (24 bits)
Octal	0o43322170
Hexadecimal	0x8DA478

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 73 85 88 110 136 146 170 187 220 289 292 340 365 374 440 578 584 680 730 748 803 935 1,156 1,241 1,445 1,460 1,496 1,606 1,870 2,312 2,482 2,890 2,920 3,179 3,212 3,740 4,015 4,964 5,780 6,205 6,358 6,424 7,480 8,030 9,928

Collatz Trajectory (88 steps to reach 1)

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

9,282,680 4,641,340 2,320,670 1,160,335 3,481,006 1,740,503 5,221,510 2,610,755 7,832,266 3,916,133 11,748,400 5,874,200 2,937,100 1,468,550 734,275 2,202,826 1,101,413 3,304,240 1,652,120 826,060 413,030 206,515 619,546 309,773 929,320 464,660 232,330 116,165 348,496 174,248 87,124 43,562 21,781 65,344 32,672 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640

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