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Atlas › Integer Profiles › Node 8,317,280

8,317,280

25 × 5 × 227 × 229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 227 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,822,320
Proper Divisor Sum 11,505,040
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8317277 ← → #8317297

Radix Representation

Decimal 8317280
Binary 11111101110100101100000 (23 bits)
Octal 0o37564540
Hexadecimal 0x7EE960

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 160 227 229 454 458 908 916 1,135 1,145 1,816 1,832 2,270 2,290 3,632 3,664 4,540 4,580 7,264 7,328 9,080 9,160 18,160 18,320 36,320 36,640 51,983 103,966 207,932 259,915 415,864 519,830 831,728 1,039,660 1,663,456 2,079,320 4,158,640 8,317,280

Collatz Trajectory (49 steps to reach 1)

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

8,317,280 4,158,640 2,079,320 1,039,660 519,830 259,915 779,746 389,873 1,169,620 584,810 292,405 877,216 438,608 219,304 109,652 54,826 27,413 82,240 41,120 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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