λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,344,640
3,344,640
28 × 3 × 5 × 13 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3 × 5 × 13 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 11,675,328
Proper Divisor Sum 8,330,688
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3344633 ← → #3344647

Radix Representation

Decimal 3344640
Binary 1100110000100100000000 (22 bits)
Octal 0o14604400
Hexadecimal 0x330900

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 67 78 80 96 104 120 128 130 134 156 160 192 195 201 208 240 256 260 268 312 320 335 384 390 402 416 480 520 536 624 640 670 768 780 804 832

Collatz Trajectory (58 steps to reach 1)

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

3,344,640 1,672,320 836,160 418,080 209,040 104,520 52,260 26,130 13,065 39,196 19,598 9,799 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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