λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,224,960
2,224,960
26 × 5 × 17 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 5,623,560
Proper Divisor Sum 3,398,600
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2224939 ← → #2224961

Radix Representation

Decimal 2224960
Binary 1000011111001101000000 (22 bits)
Octal 0o10371500
Hexadecimal 0x21F340

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 409 544 680 818 1,088 1,360 1,636 2,045 2,720 3,272 4,090 5,440 6,544 6,953 8,180 13,088 13,906 16,360 26,176 27,812 32,720 34,765 55,624 65,440 69,530 111,248 130,880 139,060 222,496 278,120 444,992 556,240 1,112,480 2,224,960

Collatz Trajectory (60 steps to reach 1)

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

2,224,960 1,112,480 556,240 278,120 139,060 69,530 34,765 104,296 52,148 26,074 13,037 39,112 19,556 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 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 8 4 2

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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