λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,561
37,101,561
3 × 7 × 43 × 181 × 227
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 43 × 181 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,426,368
Proper Divisor Sum 21,324,807
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #37101551 ← → #37101563

Radix Representation

Decimal 37101561
Binary 10001101100001111111111001 (26 bits)
Octal 0o215417771
Hexadecimal 0x2361FF9

Divisor Catalog (32)

1 3 7 21 43 129 181 227 301 543 681 903 1,267 1,589 3,801 4,767 7,783 9,761 23,349 29,283 41,087 54,481 68,327 123,261 163,443 204,981 287,609 862,827 1,766,741 5,300,223 12,367,187 37,101,561

Collatz Trajectory (307 steps to reach 1)

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

37,101,561 111,304,684 55,652,342 27,826,171 83,478,514 41,739,257 125,217,772 62,608,886 31,304,443 93,913,330 46,956,665 140,869,996 70,434,998 35,217,499 105,652,498 52,826,249 158,478,748 79,239,374 39,619,687 118,859,062 59,429,531 178,288,594 89,144,297 267,432,892 133,716,446 66,858,223 200,574,670 100,287,335 300,862,006 150,431,003 451,293,010 225,646,505 676,939,516 338,469,758 169,234,879 507,704,638 253,852,319 761,556,958 380,778,479 1,142,335,438 571,167,719 1,713,503,158 856,751,579 2,570,254,738 1,285,127,369 3,855,382,108 1,927,691,054 963,845,527 2,891,536,582 1,445,768,291 4,337,304,874 2,168,652,437 6,505,957,312 3,252,978,656 1,626,489,328 813,244,664 406,622,332 203,311,166 101,655,583 304,966,750

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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