λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,902,492
49,902,492
22 × 3 × 37 × 71 × 1583
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 71 × 1583
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 121,347,072
Proper Divisor Sum 71,444,580
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #49902487 ← → #49902527

Radix Representation

Decimal 49902492
Binary 10111110010111001110011100 (26 bits)
Octal 0o276271634
Hexadecimal 0x2F9739C

Divisor Catalog (48)

1 2 3 4 6 12 37 71 74 111 142 148 213 222 284 426 444 852 1,583 2,627 3,166 4,749 5,254 6,332 7,881 9,498 10,508 15,762 18,996 31,524 58,571 112,393 117,142 175,713 224,786 234,284 337,179 351,426 449,572 674,358 702,852 1,348,716 4,158,541 8,317,082 12,475,623 16,634,164 24,951,246 49,902,492

Collatz Trajectory (186 steps to reach 1)

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

49,902,492 24,951,246 12,475,623 37,426,870 18,713,435 56,140,306 28,070,153 84,210,460 42,105,230 21,052,615 63,157,846 31,578,923 94,736,770 47,368,385 142,105,156 71,052,578 35,526,289 106,578,868 53,289,434 26,644,717 79,934,152 39,967,076 19,983,538 9,991,769 29,975,308 14,987,654 7,493,827 22,481,482 11,240,741 33,722,224 16,861,112 8,430,556 4,215,278 2,107,639 6,322,918 3,161,459 9,484,378 4,742,189 14,226,568 7,113,284 3,556,642 1,778,321 5,334,964 2,667,482 1,333,741 4,001,224 2,000,612 1,000,306 500,153 1,500,460 750,230 375,115 1,125,346 562,673 1,688,020 844,010 422,005 1,266,016 633,008 316,504

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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