λ
Ratio Atlas
Atlas › Integer Profiles › Node 58,782,889
58,782,889
112 × 172 × 412
Deficient Odd Composite Square (√ = 7667)

Prime Factor Structure

Factorization String 11^2 × 17^2 × 41^2
Distinct Prime Factors 3
Square Status Yes (√58782889 = 7667)
Abundance Measure Deficient

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 70,351,813
Proper Divisor Sum 11,568,924
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #58782863 ← → #58782901

Radix Representation

Decimal 58782889
Binary 11100000001111010010101001 (26 bits)
Octal 0o340172251
Hexadecimal 0x380F4A9

Divisor Catalog (27)

1 11 17 41 121 187 289 451 697 1,681 2,057 3,179 4,961 7,667 11,849 18,491 28,577 34,969 84,337 130,339 203,401 314,347 485,809 1,433,729 3,457,817 5,343,899 58,782,889

Collatz Trajectory (238 steps to reach 1)

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

58,782,889 176,348,668 88,174,334 44,087,167 132,261,502 66,130,751 198,392,254 99,196,127 297,588,382 148,794,191 446,382,574 223,191,287 669,573,862 334,786,931 1,004,360,794 502,180,397 1,506,541,192 753,270,596 376,635,298 188,317,649 564,952,948 282,476,474 141,238,237 423,714,712 211,857,356 105,928,678 52,964,339 158,893,018 79,446,509 238,339,528 119,169,764 59,584,882 29,792,441 89,377,324 44,688,662 22,344,331 67,032,994 33,516,497 100,549,492 50,274,746 25,137,373 75,412,120 37,706,060 18,853,030 9,426,515 28,279,546 14,139,773 42,419,320 21,209,660 10,604,830 5,302,415 15,907,246 7,953,623 23,860,870 11,930,435 35,791,306 17,895,653 53,686,960 26,843,480 13,421,740

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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