λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,976,254
36,976,254
2 × 3 × 7 × 683 × 1289
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 683 × 1289
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,706,560
Proper Divisor Sum 47,730,306
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36976253 ← → #36976267

Radix Representation

Decimal 36976254
Binary 10001101000011011001111110 (26 bits)
Octal 0o215033176
Hexadecimal 0x234367E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 683 1,289 1,366 2,049 2,578 3,867 4,098 4,781 7,734 9,023 9,562 14,343 18,046 27,069 28,686 54,138 880,387 1,760,774 2,641,161 5,282,322 6,162,709 12,325,418 18,488,127 36,976,254

Collatz Trajectory (134 steps to reach 1)

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

36,976,254 18,488,127 55,464,382 27,732,191 83,196,574 41,598,287 124,794,862 62,397,431 187,192,294 93,596,147 280,788,442 140,394,221 421,182,664 210,591,332 105,295,666 52,647,833 157,943,500 78,971,750 39,485,875 118,457,626 59,228,813 177,686,440 88,843,220 44,421,610 22,210,805 66,632,416 33,316,208 16,658,104 8,329,052 4,164,526 2,082,263 6,246,790 3,123,395 9,370,186 4,685,093 14,055,280 7,027,640 3,513,820 1,756,910 878,455 2,635,366 1,317,683 3,953,050 1,976,525 5,929,576 2,964,788 1,482,394 741,197 2,223,592 1,111,796 555,898 277,949 833,848 416,924 208,462 104,231 312,694 156,347 469,042 234,521

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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