λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,425,124
72,425,124
22 × 33 × 67 × 10009
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 67 × 10009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 190,590,400
Proper Divisor Sum 118,165,276
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72425123 ← → #72425153

Radix Representation

Decimal 72425124
Binary 100010100010001111010100100 (27 bits)
Octal 0o424217244
Hexadecimal 0x4511EA4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1,206 1,809 2,412 3,618 7,236 10,009 20,018 30,027 40,036 60,054 90,081 120,108 180,162 270,243 360,324 540,486 670,603 1,080,972 1,341,206 2,011,809 2,682,412 4,023,618 6,035,427 8,047,236 12,070,854 18,106,281 24,141,708 36,212,562 72,425,124

Collatz Trajectory (166 steps to reach 1)

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

72,425,124 36,212,562 18,106,281 54,318,844 27,159,422 13,579,711 40,739,134 20,369,567 61,108,702 30,554,351 91,663,054 45,831,527 137,494,582 68,747,291 206,241,874 103,120,937 309,362,812 154,681,406 77,340,703 232,022,110 116,011,055 348,033,166 174,016,583 522,049,750 261,024,875 783,074,626 391,537,313 1,174,611,940 587,305,970 293,652,985 880,958,956 440,479,478 220,239,739 660,719,218 330,359,609 991,078,828 495,539,414 247,769,707 743,309,122 371,654,561 1,114,963,684 557,481,842 278,740,921 836,222,764 418,111,382 209,055,691 627,167,074 313,583,537 940,750,612 470,375,306 235,187,653 705,562,960 352,781,480 176,390,740 88,195,370 44,097,685 132,293,056 66,146,528 33,073,264 16,536,632

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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