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Atlas › Integer Profiles › Node 8,785,336

8,785,336

23 × 7 × 59 × 2659
Abundant Even Composite

8,785,336 factors as 2^3 × 7 × 59 × 2659. Its 32 positive divisors give a proper-divisor sum of 10,366,664, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 59 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,152,000
Proper Divisor Sum 10,366,664
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8785313 ← → #8785349

Radix Representation

Decimal 8785336
Binary 100001100000110110111000 (24 bits)
Octal 0o41406670
Hexadecimal 0x860DB8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 59 118 236 413 472 826 1,652 2,659 3,304 5,318 10,636 18,613 21,272 37,226 74,452 148,904 156,881 313,762 627,524 1,098,167 1,255,048 2,196,334 4,392,668 8,785,336

Collatz Trajectory (181 steps to reach 1)

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

8,785,336 4,392,668 2,196,334 1,098,167 3,294,502 1,647,251 4,941,754 2,470,877 7,412,632 3,706,316 1,853,158 926,579 2,779,738 1,389,869 4,169,608 2,084,804 1,042,402 521,201 1,563,604 781,802 390,901 1,172,704 586,352 293,176 146,588 73,294 36,647 109,942 54,971 164,914 82,457 247,372 123,686 61,843 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549

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