λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,103,465
80,103,465
33 × 5 × 132 × 3511
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 13^2 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 154,247,040
Proper Divisor Sum 74,143,575
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #80103461 ← → #80103467

Radix Representation

Decimal 80103465
Binary 100110001100100100000101001 (27 bits)
Octal 0o461444051
Hexadecimal 0x4C64829

Divisor Catalog (48)

1 3 5 9 13 15 27 39 45 65 117 135 169 195 351 507 585 845 1,521 1,755 2,535 3,511 4,563 7,605 10,533 17,555 22,815 31,599 45,643 52,665 94,797 136,929 157,995 228,215 410,787 473,985 593,359 684,645 1,232,361 1,780,077 2,053,935 2,966,795 5,340,231 6,161,805 8,900,385 16,020,693 26,701,155 80,103,465

Collatz Trajectory (140 steps to reach 1)

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

80,103,465 240,310,396 120,155,198 60,077,599 180,232,798 90,116,399 270,349,198 135,174,599 405,523,798 202,761,899 608,285,698 304,142,849 912,428,548 456,214,274 228,107,137 684,321,412 342,160,706 171,080,353 513,241,060 256,620,530 128,310,265 384,930,796 192,465,398 96,232,699 288,698,098 144,349,049 433,047,148 216,523,574 108,261,787 324,785,362 162,392,681 487,178,044 243,589,022 121,794,511 365,383,534 182,691,767 548,075,302 274,037,651 822,112,954 411,056,477 1,233,169,432 616,584,716 308,292,358 154,146,179 462,438,538 231,219,269 693,657,808 346,828,904 173,414,452 86,707,226 43,353,613 130,060,840 65,030,420 32,515,210 16,257,605 48,772,816 24,386,408 12,193,204 6,096,602 3,048,301

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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