λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,213,006
3,213,006
2 × 3 × 37 × 41 × 353
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 37 × 41 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,779,808
Proper Divisor Sum 3,566,802
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3212981 ← → #3213011

Radix Representation

Decimal 3213006
Binary 1100010000011011001110 (22 bits)
Octal 0o14203316
Hexadecimal 0x3106CE

Divisor Catalog (32)

1 2 3 6 37 41 74 82 111 123 222 246 353 706 1,059 1,517 2,118 3,034 4,551 9,102 13,061 14,473 26,122 28,946 39,183 43,419 78,366 86,838 535,501 1,071,002 1,606,503 3,213,006

Collatz Trajectory (146 steps to reach 1)

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

3,213,006 1,606,503 4,819,510 2,409,755 7,229,266 3,614,633 10,843,900 5,421,950 2,710,975 8,132,926 4,066,463 12,199,390 6,099,695 18,299,086 9,149,543 27,448,630 13,724,315 41,172,946 20,586,473 61,759,420 30,879,710 15,439,855 46,319,566 23,159,783 69,479,350 34,739,675 104,219,026 52,109,513 156,328,540 78,164,270 39,082,135 117,246,406 58,623,203 175,869,610 87,934,805 263,804,416 131,902,208 65,951,104 32,975,552 16,487,776 8,243,888 4,121,944 2,060,972 1,030,486 515,243 1,545,730 772,865 2,318,596 1,159,298 579,649 1,738,948 869,474 434,737 1,304,212 652,106 326,053 978,160 489,080 244,540 122,270

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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