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Atlas › Integer Profiles › Node 8,551,100

8,551,100

22 × 52 × 233 × 367
Abundant Even Composite

8,551,100 factors as 2^2 × 5^2 × 233 × 367. Its 36 positive divisors give a proper-divisor sum of 10,135,204, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 233 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,686,304
Proper Divisor Sum 10,135,204
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8551099 ← → #8551139

Radix Representation

Decimal 8551100
Binary 100000100111101010111100 (24 bits)
Octal 0o40475274
Hexadecimal 0x827ABC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 233 367 466 734 932 1,165 1,468 1,835 2,330 3,670 4,660 5,825 7,340 9,175 11,650 18,350 23,300 36,700 85,511 171,022 342,044 427,555 855,110 1,710,220 2,137,775 4,275,550 8,551,100

Collatz Trajectory (150 steps to reach 1)

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

8,551,100 4,275,550 2,137,775 6,413,326 3,206,663 9,619,990 4,809,995 14,429,986 7,214,993 21,644,980 10,822,490 5,411,245 16,233,736 8,116,868 4,058,434 2,029,217 6,087,652 3,043,826 1,521,913 4,565,740 2,282,870 1,141,435 3,424,306 1,712,153 5,136,460 2,568,230 1,284,115 3,852,346 1,926,173 5,778,520 2,889,260 1,444,630 722,315 2,166,946 1,083,473 3,250,420 1,625,210 812,605 2,437,816 1,218,908 609,454 304,727 914,182 457,091 1,371,274 685,637 2,056,912 1,028,456 514,228 257,114 128,557 385,672 192,836 96,418 48,209 144,628 72,314 36,157 108,472 54,236

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