λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,528,540
12,528,540
22 × 33 × 5 × 23201
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 23201
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,979,360
Proper Divisor Sum 26,450,820
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12528517 ← → #12528553

Radix Representation

Decimal 12528540
Binary 101111110010101110011100 (24 bits)
Octal 0o57625634
Hexadecimal 0xBF2B9C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 23,201 46,402 69,603 92,804 116,005 139,206 208,809 232,010 278,412 348,015 417,618 464,020 626,427 696,030 835,236 1,044,045 1,252,854 1,392,060 2,088,090 2,505,708 3,132,135 4,176,180 6,264,270 12,528,540

Collatz Trajectory (303 steps to reach 1)

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

12,528,540 6,264,270 3,132,135 9,396,406 4,698,203 14,094,610 7,047,305 21,141,916 10,570,958 5,285,479 15,856,438 7,928,219 23,784,658 11,892,329 35,676,988 17,838,494 8,919,247 26,757,742 13,378,871 40,136,614 20,068,307 60,204,922 30,102,461 90,307,384 45,153,692 22,576,846 11,288,423 33,865,270 16,932,635 50,797,906 25,398,953 76,196,860 38,098,430 19,049,215 57,147,646 28,573,823 85,721,470 42,860,735 128,582,206 64,291,103 192,873,310 96,436,655 289,309,966 144,654,983 433,964,950 216,982,475 650,947,426 325,473,713 976,421,140 488,210,570 244,105,285 732,315,856 366,157,928 183,078,964 91,539,482 45,769,741 137,309,224 68,654,612 34,327,306 17,163,653

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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