λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,092,516
10,092,516
22 × 3 × 7 × 137 × 877
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 137 × 877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,140,736
Proper Divisor Sum 17,048,220
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10092503 ← → #10092529

Radix Representation

Decimal 10092516
Binary 100110011111111111100100 (24 bits)
Octal 0o46377744
Hexadecimal 0x99FFE4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 877 959 1,644 1,754 1,918 2,631 2,877 3,508 3,836 5,262 5,754 6,139 10,524 11,508 12,278 18,417 24,556 36,834 73,668 120,149 240,298 360,447 480,596 720,894 841,043 1,441,788 1,682,086 2,523,129 3,364,172 5,046,258 10,092,516

Collatz Trajectory (145 steps to reach 1)

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

10,092,516 5,046,258 2,523,129 7,569,388 3,784,694 1,892,347 5,677,042 2,838,521 8,515,564 4,257,782 2,128,891 6,386,674 3,193,337 9,580,012 4,790,006 2,395,003 7,185,010 3,592,505 10,777,516 5,388,758 2,694,379 8,083,138 4,041,569 12,124,708 6,062,354 3,031,177 9,093,532 4,546,766 2,273,383 6,820,150 3,410,075 10,230,226 5,115,113 15,345,340 7,672,670 3,836,335 11,509,006 5,754,503 17,263,510 8,631,755 25,895,266 12,947,633 38,842,900 19,421,450 9,710,725 29,132,176 14,566,088 7,283,044 3,641,522 1,820,761 5,462,284 2,731,142 1,365,571 4,096,714 2,048,357 6,145,072 3,072,536 1,536,268 768,134 384,067

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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