9,675,240

2³ × 3 × 5 × 80627

9,675,240 has the prime decomposition 2^3 × 3 × 5 × 80627. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 80627

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 29,026,080

Proper Divisor Sum 19,350,840

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9675187 ← → #9675257

Radix Representation

Decimal	9675240
Binary	100100111010000111101000 (24 bits)
Octal	0o44720750
Hexadecimal	0x93A1E8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 80,627 161,254 241,881 322,508 403,135 483,762 645,016 806,270 967,524 1,209,405 1,612,540 1,935,048 2,418,810 3,225,080 4,837,620 9,675,240

Collatz Trajectory (70 steps to reach 1)

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

9,675,240 4,837,620 2,418,810 1,209,405 3,628,216 1,814,108 907,054 453,527 1,360,582 680,291 2,040,874 1,020,437 3,061,312 1,530,656 765,328 382,664 191,332 95,666 47,833 143,500 71,750 35,875 107,626 53,813 161,440 80,720 40,360 20,180 10,090 5,045 15,136 7,568 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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