8,307,600

2⁴ × 3 × 5² × 7 × 23 × 43

8,307,600 factors as 2^4 × 3 × 5^2 × 7 × 23 × 43. Its 240 positive divisors give a proper-divisor sum of 24,166,512, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7 × 23 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 32,474,112

Proper Divisor Sum 24,166,512

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8307583 ← → #8307631

Radix Representation

Decimal	8307600
Binary	11111101100001110010000 (23 bits)
Octal	0o37541620
Hexadecimal	0x7EC390

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 35 40 42 43 46 48 50 56 60 69 70 75 80 84 86 92 100 105 112 115 120 129 138 140 150 161 168 172 175 184 200 210 215 230 240 258 276 280 300 301

Collatz Trajectory (230 steps to reach 1)

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

8,307,600 4,153,800 2,076,900 1,038,450 519,225 1,557,676 778,838 389,419 1,168,258 584,129 1,752,388 876,194 438,097 1,314,292 657,146 328,573 985,720 492,860 246,430 123,215 369,646 184,823 554,470 277,235 831,706 415,853 1,247,560 623,780 311,890 155,945 467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328 888,164 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782

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