λ
Ratio Atlas
Atlas › Integer Profiles › Node 79,500,087
79,500,087
32 × 37 × 181 × 1319
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 37 × 181 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 118,678,560
Proper Divisor Sum 39,178,473
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #79500073 ← → #79500103

Radix Representation

Decimal 79500087
Binary 100101111010001001100110111 (27 bits)
Octal 0o457211467
Hexadecimal 0x4BD1337

Divisor Catalog (24)

1 3 9 37 111 181 333 543 1,319 1,629 3,957 6,697 11,871 20,091 48,803 60,273 146,409 238,739 439,227 716,217 2,148,651 8,833,343 26,500,029 79,500,087

Collatz Trajectory (316 steps to reach 1)

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

79,500,087 238,500,262 119,250,131 357,750,394 178,875,197 536,625,592 268,312,796 134,156,398 67,078,199 201,234,598 100,617,299 301,851,898 150,925,949 452,777,848 226,388,924 113,194,462 56,597,231 169,791,694 84,895,847 254,687,542 127,343,771 382,031,314 191,015,657 573,046,972 286,523,486 143,261,743 429,785,230 214,892,615 644,677,846 322,338,923 967,016,770 483,508,385 1,450,525,156 725,262,578 362,631,289 1,087,893,868 543,946,934 271,973,467 815,920,402 407,960,201 1,223,880,604 611,940,302 305,970,151 917,910,454 458,955,227 1,376,865,682 688,432,841 2,065,298,524 1,032,649,262 516,324,631 1,548,973,894 774,486,947 2,323,460,842 1,161,730,421 3,485,191,264 1,742,595,632 871,297,816 435,648,908 217,824,454 108,912,227

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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