8,833,590

2 × 3³ × 5 × 32717

Starting at 8,833,590, the Collatz iteration reaches 1 after 150 steps. The first transition is 4416795; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 32717

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 23,556,960

Proper Divisor Sum 14,723,370

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8833571 ← → #8833597

Radix Representation

Decimal	8833590
Binary	100001101100101000110110 (24 bits)
Octal	0o41545066
Hexadecimal	0x86CA36

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 32,717 65,434 98,151 163,585 196,302 294,453 327,170 490,755 588,906 883,359 981,510 1,472,265 1,766,718 2,944,530 4,416,795 8,833,590

Collatz Trajectory (150 steps to reach 1)

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

8,833,590 4,416,795 13,250,386 6,625,193 19,875,580 9,937,790 4,968,895 14,906,686 7,453,343 22,360,030 11,180,015 33,540,046 16,770,023 50,310,070 25,155,035 75,465,106 37,732,553 113,197,660 56,598,830 28,299,415 84,898,246 42,449,123 127,347,370 63,673,685 191,021,056 95,510,528 47,755,264 23,877,632 11,938,816 5,969,408 2,984,704 1,492,352 746,176 373,088 186,544 93,272 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341

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