λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,333,456
3,333,456
24 × 32 × 7 × 3307
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 3307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,664,992
Proper Divisor Sum 7,331,536
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3333439 ← → #3333469

Radix Representation

Decimal 3333456
Binary 1100101101110101010000 (22 bits)
Octal 0o14556520
Hexadecimal 0x32DD50

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 3,307 6,614 9,921 13,228 19,842 23,149 26,456 29,763 39,684 46,298 52,912 59,526 69,447 79,368 92,596 119,052 138,894 158,736 185,192 208,341 238,104 277,788 370,384 416,682 476,208 555,576 833,364 1,111,152 1,666,728 3,333,456

Collatz Trajectory (84 steps to reach 1)

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

3,333,456 1,666,728 833,364 416,682 208,341 625,024 312,512 156,256 78,128 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

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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