λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,978,744
3,978,744
23 × 3 × 7 × 11 × 2153
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 2153
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,407,040
Proper Divisor Sum 8,428,296
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3978743 ← → #3978749

Radix Representation

Decimal 3978744
Binary 1111001011010111111000 (22 bits)
Octal 0o17132770
Hexadecimal 0x3CB5F8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1,848 2,153 4,306 6,459 8,612 12,918 15,071 17,224 23,683 25,836 30,142 45,213 47,366 51,672 60,284 71,049 90,426 94,732 120,568 142,098 165,781 180,852 189,464 284,196 331,562 361,704 497,343 568,392 663,124

Collatz Trajectory (216 steps to reach 1)

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

3,978,744 1,989,372 994,686 497,343 1,492,030 746,015 2,238,046 1,119,023 3,357,070 1,678,535 5,035,606 2,517,803 7,553,410 3,776,705 11,330,116 5,665,058 2,832,529 8,497,588 4,248,794 2,124,397 6,373,192 3,186,596 1,593,298 796,649 2,389,948 1,194,974 597,487 1,792,462 896,231 2,688,694 1,344,347 4,033,042 2,016,521 6,049,564 3,024,782 1,512,391 4,537,174 2,268,587 6,805,762 3,402,881 10,208,644 5,104,322 2,552,161 7,656,484 3,828,242 1,914,121 5,742,364 2,871,182 1,435,591 4,306,774 2,153,387 6,460,162 3,230,081 9,690,244 4,845,122 2,422,561 7,267,684 3,633,842 1,816,921 5,450,764

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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