8,882,034

2 × 3 × 7² × 30211

8,882,034 factors as 2 × 3 × 7^2 × 30211. Its 24 positive divisors give a proper-divisor sum of 11,782,974, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 30211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,665,008

Proper Divisor Sum 11,782,974

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8882021 ← → #8882047

Radix Representation

Decimal	8882034
Binary	100001111000011101110010 (24 bits)
Octal	0o41703562
Hexadecimal	0x878772

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 30,211 60,422 90,633 181,266 211,477 422,954 634,431 1,268,862 1,480,339 2,960,678 4,441,017 8,882,034

Collatz Trajectory (168 steps to reach 1)

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

8,882,034 4,441,017 13,323,052 6,661,526 3,330,763 9,992,290 4,996,145 14,988,436 7,494,218 3,747,109 11,241,328 5,620,664 2,810,332 1,405,166 702,583 2,107,750 1,053,875 3,161,626 1,580,813 4,742,440 2,371,220 1,185,610 592,805 1,778,416 889,208 444,604 222,302 111,151 333,454 166,727 500,182 250,091 750,274 375,137 1,125,412 562,706 281,353 844,060 422,030 211,015 633,046 316,523 949,570 474,785 1,424,356 712,178 356,089 1,068,268 534,134 267,067 801,202 400,601 1,201,804 600,902 300,451 901,354 450,677 1,352,032 676,016 338,008

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