λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,463,516
12,463,516
22 × 13 × 17 × 23 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 23 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,994,304
Proper Divisor Sum 13,530,788
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12463513 ← → #12463537

Radix Representation

Decimal 12463516
Binary 101111100010110110011100 (24 bits)
Octal 0o57426634
Hexadecimal 0xBE2D9C

Divisor Catalog (48)

1 2 4 13 17 23 26 34 46 52 68 92 221 299 391 442 598 613 782 884 1,196 1,226 1,564 2,452 5,083 7,969 10,166 10,421 14,099 15,938 20,332 20,842 28,198 31,876 41,684 56,396 135,473 183,287 239,683 270,946 366,574 479,366 541,892 733,148 958,732 3,115,879 6,231,758 12,463,516

Collatz Trajectory (158 steps to reach 1)

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

12,463,516 6,231,758 3,115,879 9,347,638 4,673,819 14,021,458 7,010,729 21,032,188 10,516,094 5,258,047 15,774,142 7,887,071 23,661,214 11,830,607 35,491,822 17,745,911 53,237,734 26,618,867 79,856,602 39,928,301 119,784,904 59,892,452 29,946,226 14,973,113 44,919,340 22,459,670 11,229,835 33,689,506 16,844,753 50,534,260 25,267,130 12,633,565 37,900,696 18,950,348 9,475,174 4,737,587 14,212,762 7,106,381 21,319,144 10,659,572 5,329,786 2,664,893 7,994,680 3,997,340 1,998,670 999,335 2,998,006 1,499,003 4,497,010 2,248,505 6,745,516 3,372,758 1,686,379 5,059,138 2,529,569 7,588,708 3,794,354 1,897,177 5,691,532 2,845,766

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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