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Ratio Atlas
Atlas › Integer Profiles › Node 801,735
801,735
3 × 5 × 11 × 43 × 113
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 43 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,444,608
Proper Divisor Sum 642,873
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #801733 ← → #801761

Radix Representation

Decimal 801735
Binary 11000011101111000111 (20 bits)
Octal 0o3035707
Hexadecimal 0xC3BC7

Divisor Catalog (32)

1 3 5 11 15 33 43 55 113 129 165 215 339 473 565 645 1,243 1,419 1,695 2,365 3,729 4,859 6,215 7,095 14,577 18,645 24,295 53,449 72,885 160,347 267,245 801,735

Collatz Trajectory (237 steps to reach 1)

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

801,735 2,405,206 1,202,603 3,607,810 1,803,905 5,411,716 2,705,858 1,352,929 4,058,788 2,029,394 1,014,697 3,044,092 1,522,046 761,023 2,283,070 1,141,535 3,424,606 1,712,303 5,136,910 2,568,455 7,705,366 3,852,683 11,558,050 5,779,025 17,337,076 8,668,538 4,334,269 13,002,808 6,501,404 3,250,702 1,625,351 4,876,054 2,438,027 7,314,082 3,657,041 10,971,124 5,485,562 2,742,781 8,228,344 4,114,172 2,057,086 1,028,543 3,085,630 1,542,815 4,628,446 2,314,223 6,942,670 3,471,335 10,414,006 5,207,003 15,621,010 7,810,505 23,431,516 11,715,758 5,857,879 17,573,638 8,786,819 26,360,458 13,180,229 39,540,688

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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