λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,964,800
2,964,800
26 × 52 × 17 × 109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 17 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 7,795,260
Proper Divisor Sum 4,830,460
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2964743 ← → #2964811

Radix Representation

Decimal 2964800
Binary 1011010011110101000000 (22 bits)
Octal 0o13236500
Hexadecimal 0x2D3D40

Divisor Catalog (60 of 84)

1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 109 136 160 170 200 218 272 320 340 400 425 436 544 545 680 800 850 872 1,088 1,090 1,360 1,600 1,700 1,744 1,853 2,180 2,720 2,725 3,400 3,488 3,706 4,360 5,440 5,450 6,800 6,976 7,412 8,720 9,265 10,900 13,600

Collatz Trajectory (63 steps to reach 1)

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

2,964,800 1,482,400 741,200 370,600 185,300 92,650 46,325 138,976 69,488 34,744 17,372 8,686 4,343 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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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