λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,476,830
24,476,830
2 × 5 × 7 × 232 × 661
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23^2 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,716,384
Proper Divisor Sum 28,239,554
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24476819 ← → #24476849

Radix Representation

Decimal 24476830
Binary 1011101010111110010011110 (25 bits)
Octal 0o135276236
Hexadecimal 0x1757C9E

Divisor Catalog (48)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 529 661 805 1,058 1,322 1,610 2,645 3,305 3,703 4,627 5,290 6,610 7,406 9,254 15,203 18,515 23,135 30,406 37,030 46,270 76,015 106,421 152,030 212,842 349,669 532,105 699,338 1,064,210 1,748,345 2,447,683 3,496,690 4,895,366 12,238,415 24,476,830

Collatz Trajectory (198 steps to reach 1)

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

24,476,830 12,238,415 36,715,246 18,357,623 55,072,870 27,536,435 82,609,306 41,304,653 123,913,960 61,956,980 30,978,490 15,489,245 46,467,736 23,233,868 11,616,934 5,808,467 17,425,402 8,712,701 26,138,104 13,069,052 6,534,526 3,267,263 9,801,790 4,900,895 14,702,686 7,351,343 22,054,030 11,027,015 33,081,046 16,540,523 49,621,570 24,810,785 74,432,356 37,216,178 18,608,089 55,824,268 27,912,134 13,956,067 41,868,202 20,934,101 62,802,304 31,401,152 15,700,576 7,850,288 3,925,144 1,962,572 981,286 490,643 1,471,930 735,965 2,207,896 1,103,948 551,974 275,987 827,962 413,981 1,241,944 620,972 310,486 155,243

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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