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Atlas › Integer Profiles › Node 8,551,896

8,551,896

23 × 3 × 349 × 1021
Abundant Even Composite

8,551,896 factors as 2^3 × 3 × 349 × 1021. Its 32 positive divisors give a proper-divisor sum of 12,910,104, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 349 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,462,000
Proper Divisor Sum 12,910,104
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8551891 ← → #8551931

Radix Representation

Decimal 8551896
Binary 100000100111110111011000 (24 bits)
Octal 0o40476730
Hexadecimal 0x827DD8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 349 698 1,021 1,047 1,396 2,042 2,094 2,792 3,063 4,084 4,188 6,126 8,168 8,376 12,252 24,504 356,329 712,658 1,068,987 1,425,316 2,137,974 2,850,632 4,275,948 8,551,896

Collatz Trajectory (75 steps to reach 1)

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

8,551,896 4,275,948 2,137,974 1,068,987 3,206,962 1,603,481 4,810,444 2,405,222 1,202,611 3,607,834 1,803,917 5,411,752 2,705,876 1,352,938 676,469 2,029,408 1,014,704 507,352 253,676 126,838 63,419 190,258 95,129 285,388 142,694 71,347 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7

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