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Atlas › Integer Profiles › Node 8,769,264

8,769,264

24 × 3 × 7 × 26099
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 26099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 25,891,200
Proper Divisor Sum 17,121,936
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8769253 ← → #8769283

Radix Representation

Decimal 8769264
Binary 100001011100111011110000 (24 bits)
Octal 0o41347360
Hexadecimal 0x85CEF0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 26,099 52,198 78,297 104,396 156,594 182,693 208,792 313,188 365,386 417,584 548,079 626,376 730,772 1,096,158 1,252,752 1,461,544 2,192,316 2,923,088 4,384,632 8,769,264

Collatz Trajectory (199 steps to reach 1)

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

8,769,264 4,384,632 2,192,316 1,096,158 548,079 1,644,238 822,119 2,466,358 1,233,179 3,699,538 1,849,769 5,549,308 2,774,654 1,387,327 4,161,982 2,080,991 6,242,974 3,121,487 9,364,462 4,682,231 14,046,694 7,023,347 21,070,042 10,535,021 31,605,064 15,802,532 7,901,266 3,950,633 11,851,900 5,925,950 2,962,975 8,888,926 4,444,463 13,333,390 6,666,695 20,000,086 10,000,043 30,000,130 15,000,065 45,000,196 22,500,098 11,250,049 33,750,148 16,875,074 8,437,537 25,312,612 12,656,306 6,328,153 18,984,460 9,492,230 4,746,115 14,238,346 7,119,173 21,357,520 10,678,760 5,339,380 2,669,690 1,334,845 4,004,536 2,002,268

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