λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,086,748
3,086,748
22 × 34 × 7 × 1361
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 1361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,228,912
Proper Divisor Sum 6,142,164
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3086737 ← → #3086749

Radix Representation

Decimal 3086748
Binary 1011110001100110011100 (22 bits)
Octal 0o13614634
Hexadecimal 0x2F199C

Divisor Catalog (60)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1,134 1,361 2,268 2,722 4,083 5,444 8,166 9,527 12,249 16,332 19,054 24,498 28,581 36,747 38,108 48,996 57,162 73,494 85,743 110,241 114,324 146,988 171,486 220,482 257,229 342,972 440,964 514,458 771,687 1,028,916 1,543,374 3,086,748

Collatz Trajectory (138 steps to reach 1)

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

3,086,748 1,543,374 771,687 2,315,062 1,157,531 3,472,594 1,736,297 5,208,892 2,604,446 1,302,223 3,906,670 1,953,335 5,860,006 2,930,003 8,790,010 4,395,005 13,185,016 6,592,508 3,296,254 1,648,127 4,944,382 2,472,191 7,416,574 3,708,287 11,124,862 5,562,431 16,687,294 8,343,647 25,030,942 12,515,471 37,546,414 18,773,207 56,319,622 28,159,811 84,479,434 42,239,717 126,719,152 63,359,576 31,679,788 15,839,894 7,919,947 23,759,842 11,879,921 35,639,764 17,819,882 8,909,941 26,729,824 13,364,912 6,682,456 3,341,228 1,670,614 835,307 2,505,922 1,252,961 3,758,884 1,879,442 939,721 2,819,164 1,409,582 704,791

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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