λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,587,726
4,587,726
2 × 3 × 11 × 13 × 5347
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 5347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,781,568
Proper Divisor Sum 6,193,842
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4587703 ← → #4587731

Radix Representation

Decimal 4587726
Binary 10001100000000011001110 (23 bits)
Octal 0o21400316
Hexadecimal 0x4600CE

Divisor Catalog (32)

1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 5,347 10,694 16,041 32,082 58,817 69,511 117,634 139,022 176,451 208,533 352,902 417,066 764,621 1,529,242 2,293,863 4,587,726

Collatz Trajectory (423 steps to reach 1)

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

4,587,726 2,293,863 6,881,590 3,440,795 10,322,386 5,161,193 15,483,580 7,741,790 3,870,895 11,612,686 5,806,343 17,419,030 8,709,515 26,128,546 13,064,273 39,192,820 19,596,410 9,798,205 29,394,616 14,697,308 7,348,654 3,674,327 11,022,982 5,511,491 16,534,474 8,267,237 24,801,712 12,400,856 6,200,428 3,100,214 1,550,107 4,650,322 2,325,161 6,975,484 3,487,742 1,743,871 5,231,614 2,615,807 7,847,422 3,923,711 11,771,134 5,885,567 17,656,702 8,828,351 26,485,054 13,242,527 39,727,582 19,863,791 59,591,374 29,795,687 89,387,062 44,693,531 134,080,594 67,040,297 201,120,892 100,560,446 50,280,223 150,840,670 75,420,335 226,261,006

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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