λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,096,743
4,096,743
3 × 72 × 29 × 312
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 29 × 31^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,792,120
Proper Divisor Sum 2,695,377
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4096727 ← → #4096753

Radix Representation

Decimal 4096743
Binary 1111101000001011100111 (22 bits)
Octal 0o17501347
Hexadecimal 0x3E82E7

Divisor Catalog (36)

1 3 7 21 29 31 49 87 93 147 203 217 609 651 899 961 1,421 1,519 2,697 2,883 4,263 4,557 6,293 6,727 18,879 20,181 27,869 44,051 47,089 83,607 132,153 141,267 195,083 585,249 1,365,581 4,096,743

Collatz Trajectory (291 steps to reach 1)

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

4,096,743 12,290,230 6,145,115 18,435,346 9,217,673 27,653,020 13,826,510 6,913,255 20,739,766 10,369,883 31,109,650 15,554,825 46,664,476 23,332,238 11,666,119 34,998,358 17,499,179 52,497,538 26,248,769 78,746,308 39,373,154 19,686,577 59,059,732 29,529,866 14,764,933 44,294,800 22,147,400 11,073,700 5,536,850 2,768,425 8,305,276 4,152,638 2,076,319 6,228,958 3,114,479 9,343,438 4,671,719 14,015,158 7,007,579 21,022,738 10,511,369 31,534,108 15,767,054 7,883,527 23,650,582 11,825,291 35,475,874 17,737,937 53,213,812 26,606,906 13,303,453 39,910,360 19,955,180 9,977,590 4,988,795 14,966,386 7,483,193 22,449,580 11,224,790 5,612,395

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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