λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,037,843
8,037,843
3 × 11 × 29 × 37 × 227
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 29 × 37 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,476,160
Proper Divisor Sum 4,438,317
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8037829 ← → #8037847

Radix Representation

Decimal 8037843
Binary 11110101010010111010011 (23 bits)
Octal 0o36522723
Hexadecimal 0x7AA5D3

Divisor Catalog (32)

1 3 11 29 33 37 87 111 227 319 407 681 957 1,073 1,221 2,497 3,219 6,583 7,491 8,399 11,803 19,749 25,197 35,409 72,413 92,389 217,239 243,571 277,167 730,713 2,679,281 8,037,843

Collatz Trajectory (248 steps to reach 1)

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

8,037,843 24,113,530 12,056,765 36,170,296 18,085,148 9,042,574 4,521,287 13,563,862 6,781,931 20,345,794 10,172,897 30,518,692 15,259,346 7,629,673 22,889,020 11,444,510 5,722,255 17,166,766 8,583,383 25,750,150 12,875,075 38,625,226 19,312,613 57,937,840 28,968,920 14,484,460 7,242,230 3,621,115 10,863,346 5,431,673 16,295,020 8,147,510 4,073,755 12,221,266 6,110,633 18,331,900 9,165,950 4,582,975 13,748,926 6,874,463 20,623,390 10,311,695 30,935,086 15,467,543 46,402,630 23,201,315 69,603,946 34,801,973 104,405,920 52,202,960 26,101,480 13,050,740 6,525,370 3,262,685 9,788,056 4,894,028 2,447,014 1,223,507 3,670,522 1,835,261

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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