λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,323,740
8,323,740
22 × 32 × 5 × 131 × 353
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 131 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 25,513,488
Proper Divisor Sum 17,189,748
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8323681 ← → #8323741

Radix Representation

Decimal 8323740
Binary 11111110000001010011100 (23 bits)
Octal 0o37601234
Hexadecimal 0x7F029C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 353 393 524 655 706 786 1,059 1,179 1,310 1,412 1,572 1,765 1,965 2,118 2,358 2,620 3,177 3,530 3,930 4,236 4,716 5,295 5,895 6,354 7,060 7,860 10,590 11,790 12,708 15,885 21,180 23,580 31,770 46,243 63,540 92,486 138,729 184,972 231,215 277,458

Collatz Trajectory (93 steps to reach 1)

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

8,323,740 4,161,870 2,080,935 6,242,806 3,121,403 9,364,210 4,682,105 14,046,316 7,023,158 3,511,579 10,534,738 5,267,369 15,802,108 7,901,054 3,950,527 11,851,582 5,925,791 17,777,374 8,888,687 26,666,062 13,333,031 39,999,094 19,999,547 59,998,642 29,999,321 89,997,964 44,998,982 22,499,491 67,498,474 33,749,237 101,247,712 50,623,856 25,311,928 12,655,964 6,327,982 3,163,991 9,491,974 4,745,987 14,237,962 7,118,981 21,356,944 10,678,472 5,339,236 2,669,618 1,334,809 4,004,428 2,002,214 1,001,107 3,003,322 1,501,661 4,504,984 2,252,492 1,126,246 563,123 1,689,370 844,685 2,534,056 1,267,028 633,514 316,757

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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