λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,172,048
50,172,048
24 × 34 × 38713
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 38713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 145,216,214
Proper Divisor Sum 95,044,166
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50172047 ← → #50172091

Radix Representation

Decimal 50172048
Binary 10111111011001000010010000 (26 bits)
Octal 0o277310220
Hexadecimal 0x2FD9090

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1,296 38,713 77,426 116,139 154,852 232,278 309,704 348,417 464,556 619,408 696,834 929,112 1,045,251 1,393,668 1,858,224 2,090,502 2,787,336 3,135,753 4,181,004 5,574,672 6,271,506 8,362,008 12,543,012 16,724,016 25,086,024 50,172,048

Collatz Trajectory (155 steps to reach 1)

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

50,172,048 25,086,024 12,543,012 6,271,506 3,135,753 9,407,260 4,703,630 2,351,815 7,055,446 3,527,723 10,583,170 5,291,585 15,874,756 7,937,378 3,968,689 11,906,068 5,953,034 2,976,517 8,929,552 4,464,776 2,232,388 1,116,194 558,097 1,674,292 837,146 418,573 1,255,720 627,860 313,930 156,965 470,896 235,448 117,724 58,862 29,431 88,294 44,147 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842

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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