λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,244,009
80,244,009
32 × 37 × 73 × 3301
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 37 × 73 × 3301
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 120,707,912
Proper Divisor Sum 40,463,903
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #80244007 ← → #80244023

Radix Representation

Decimal 80244009
Binary 100110010000110110100101001 (27 bits)
Octal 0o462066451
Hexadecimal 0x4C86D29

Divisor Catalog (24)

1 3 9 37 73 111 219 333 657 2,701 3,301 8,103 9,903 24,309 29,709 122,137 240,973 366,411 722,919 1,099,233 2,168,757 8,916,001 26,748,003 80,244,009

Collatz Trajectory (192 steps to reach 1)

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

80,244,009 240,732,028 120,366,014 60,183,007 180,549,022 90,274,511 270,823,534 135,411,767 406,235,302 203,117,651 609,352,954 304,676,477 914,029,432 457,014,716 228,507,358 114,253,679 342,761,038 171,380,519 514,141,558 257,070,779 771,212,338 385,606,169 1,156,818,508 578,409,254 289,204,627 867,613,882 433,806,941 1,301,420,824 650,710,412 325,355,206 162,677,603 488,032,810 244,016,405 732,049,216 366,024,608 183,012,304 91,506,152 45,753,076 22,876,538 11,438,269 34,314,808 17,157,404 8,578,702 4,289,351 12,868,054 6,434,027 19,302,082 9,651,041 28,953,124 14,476,562 7,238,281 21,714,844 10,857,422 5,428,711 16,286,134 8,143,067 24,429,202 12,214,601 36,643,804 18,321,902

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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