λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,909,040
24,909,040
24 × 5 × 13 × 43 × 557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 43 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 63,933,408
Proper Divisor Sum 39,024,368
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #24909011 ← → #24909041

Radix Representation

Decimal 24909040
Binary 1011111000001010011110000 (25 bits)
Octal 0o137012360
Hexadecimal 0x17C14F0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 557 559 688 860 1,040 1,114 1,118 1,720 2,228 2,236 2,785 2,795 3,440 4,456 4,472 5,570 5,590 7,241 8,912 8,944 11,140 11,180 14,482 22,280 22,360 23,951 28,964 36,205 44,560 44,720 47,902 57,928 72,410 95,804 115,856

Collatz Trajectory (198 steps to reach 1)

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

24,909,040 12,454,520 6,227,260 3,113,630 1,556,815 4,670,446 2,335,223 7,005,670 3,502,835 10,508,506 5,254,253 15,762,760 7,881,380 3,940,690 1,970,345 5,911,036 2,955,518 1,477,759 4,433,278 2,216,639 6,649,918 3,324,959 9,974,878 4,987,439 14,962,318 7,481,159 22,443,478 11,221,739 33,665,218 16,832,609 50,497,828 25,248,914 12,624,457 37,873,372 18,936,686 9,468,343 28,405,030 14,202,515 42,607,546 21,303,773 63,911,320 31,955,660 15,977,830 7,988,915 23,966,746 11,983,373 35,950,120 17,975,060 8,987,530 4,493,765 13,481,296 6,740,648 3,370,324 1,685,162 842,581 2,527,744 1,263,872 631,936 315,968 157,984

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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