8,882,016

2⁵ × 3 × 11 × 13 × 647

8,882,016 factors as 2^5 × 3 × 11 × 13 × 647. Its 96 positive divisors give a proper-divisor sum of 18,551,712, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 13 × 647

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,433,728

Proper Divisor Sum 18,551,712

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8882009 ← → #8882017

Radix Representation

Decimal	8882016
Binary	100001111000011101100000 (24 bits)
Octal	0o41703540
Hexadecimal	0x878760

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 647 858 1,056 1,144 1,248 1,294 1,716 1,941 2,288 2,588 3,432 3,882 4,576 5,176 6,864 7,117 7,764 8,411 10,352 13,728 14,234 15,528

Collatz Trajectory (137 steps to reach 1)

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

8,882,016 4,441,008 2,220,504 1,110,252 555,126 277,563 832,690 416,345 1,249,036 624,518 312,259 936,778 468,389 1,405,168 702,584 351,292 175,646 87,823 263,470 131,735 395,206 197,603 592,810 296,405 889,216 444,608 222,304 111,152 55,576 27,788 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263

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