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9,507,240

23 × 33 × 5 × 8803
Abundant Even Composite

9,507,240 factors as 2^3 × 3^3 × 5 × 8803. Its 64 positive divisors give a proper-divisor sum of 22,187,160, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 8803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 31,694,400
Proper Divisor Sum 22,187,160
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9507217 ← → #9507241

Radix Representation

Decimal 9507240
Binary 100100010001000110101000 (24 bits)
Octal 0o44210650
Hexadecimal 0x9111A8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1,080 8,803 17,606 26,409 35,212 44,015 52,818 70,424 79,227 88,030 105,636 132,045 158,454 176,060 211,272 237,681 264,090 316,908 352,120 396,135 475,362 528,180 633,816 792,270 950,724 1,056,360 1,188,405 1,584,540 1,901,448

Collatz Trajectory (70 steps to reach 1)

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

9,507,240 4,753,620 2,376,810 1,188,405 3,565,216 1,782,608 891,304 445,652 222,826 111,413 334,240 167,120 83,560 41,780 20,890 10,445 31,336 15,668 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52

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