λ
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Atlas › Integer Profiles › Node 8,556,936

8,556,936

23 × 3 × 109 × 3271
Abundant Even Composite

8,556,936 factors as 2^3 × 3 × 109 × 3271. Its 32 positive divisors give a proper-divisor sum of 13,038,264, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 109 × 3271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,595,200
Proper Divisor Sum 13,038,264
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8556923 ← → #8556937

Radix Representation

Decimal 8556936
Binary 100000101001000110001000 (24 bits)
Octal 0o40510610
Hexadecimal 0x829188

Divisor Catalog (32)

1 2 3 4 6 8 12 24 109 218 327 436 654 872 1,308 2,616 3,271 6,542 9,813 13,084 19,626 26,168 39,252 78,504 356,539 713,078 1,069,617 1,426,156 2,139,234 2,852,312 4,278,468 8,556,936

Collatz Trajectory (98 steps to reach 1)

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

8,556,936 4,278,468 2,139,234 1,069,617 3,208,852 1,604,426 802,213 2,406,640 1,203,320 601,660 300,830 150,415 451,246 225,623 676,870 338,435 1,015,306 507,653 1,522,960 761,480 380,740 190,370 95,185 285,556 142,778 71,389 214,168 107,084 53,542 26,771 80,314 40,157 120,472 60,236 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052

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