λ
Ratio Atlas
Atlas › Integer Profiles › Node 59,080,329
59,080,329
32 × 72 × 11 × 19 × 641
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11 × 19 × 641
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 114,173,280
Proper Divisor Sum 55,092,951
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #59080309 ← → #59080331

Radix Representation

Decimal 59080329
Binary 11100001010111111010001001 (26 bits)
Octal 0o341277211
Hexadecimal 0x3857E89

Divisor Catalog (60 of 72)

1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 209 231 399 441 539 627 641 693 931 1,197 1,463 1,617 1,881 1,923 2,793 4,389 4,487 4,851 5,769 7,051 8,379 10,241 12,179 13,167 13,461 21,153 30,723 31,409 36,537 40,383 49,357 63,459 85,253 92,169 94,227 109,611 133,969 148,071 255,759 282,681 345,499 401,907 444,213 596,771

Collatz Trajectory (168 steps to reach 1)

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

59,080,329 177,240,988 88,620,494 44,310,247 132,930,742 66,465,371 199,396,114 99,698,057 299,094,172 149,547,086 74,773,543 224,320,630 112,160,315 336,480,946 168,240,473 504,721,420 252,360,710 126,180,355 378,541,066 189,270,533 567,811,600 283,905,800 141,952,900 70,976,450 35,488,225 106,464,676 53,232,338 26,616,169 79,848,508 39,924,254 19,962,127 59,886,382 29,943,191 89,829,574 44,914,787 134,744,362 67,372,181 202,116,544 101,058,272 50,529,136 25,264,568 12,632,284 6,316,142 3,158,071 9,474,214 4,737,107 14,211,322 7,105,661 21,316,984 10,658,492 5,329,246 2,664,623 7,993,870 3,996,935 11,990,806 5,995,403 17,986,210 8,993,105 26,979,316 13,489,658

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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