8,375,640

2³ × 3 × 5 × 7 × 13² × 59

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 13^2 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 31,622,400

Proper Divisor Sum 23,246,760

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8375617 ← → #8375641

Radix Representation

Decimal	8375640
Binary	11111111100110101011000 (23 bits)
Octal	0o37746530
Hexadecimal	0x7FCD58

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 59 60 65 70 78 84 91 104 105 118 120 130 140 156 168 169 177 182 195 210 236 260 273 280 295 312 338 354 364 390 413 420 455 472 507

Collatz Trajectory (261 steps to reach 1)

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

8,375,640 4,187,820 2,093,910 1,046,955 3,140,866 1,570,433 4,711,300 2,355,650 1,177,825 3,533,476 1,766,738 883,369 2,650,108 1,325,054 662,527 1,987,582 993,791 2,981,374 1,490,687 4,472,062 2,236,031 6,708,094 3,354,047 10,062,142 5,031,071 15,093,214 7,546,607 22,639,822 11,319,911 33,959,734 16,979,867 50,939,602 25,469,801 76,409,404 38,204,702 19,102,351 57,307,054 28,653,527 85,960,582 42,980,291 128,940,874 64,470,437 193,411,312 96,705,656 48,352,828 24,176,414 12,088,207 36,264,622 18,132,311 54,396,934 27,198,467 81,595,402 40,797,701 122,393,104 61,196,552 30,598,276 15,299,138 7,649,569 22,948,708 11,474,354

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