λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,867,010
48,867,010
2 × 5 × 172 × 37 × 457
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17^2 × 37 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 96,174,504
Proper Divisor Sum 47,307,494
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48866999 ← → #48867023

Radix Representation

Decimal 48867010
Binary 10111010011010011011000010 (26 bits)
Octal 0o272323302
Hexadecimal 0x2E9A6C2

Divisor Catalog (48)

1 2 5 10 17 34 37 74 85 170 185 289 370 457 578 629 914 1,258 1,445 2,285 2,890 3,145 4,570 6,290 7,769 10,693 15,538 16,909 21,386 33,818 38,845 53,465 77,690 84,545 106,930 132,073 169,090 264,146 287,453 574,906 660,365 1,320,730 1,437,265 2,874,530 4,886,701 9,773,402 24,433,505 48,867,010

Collatz Trajectory (230 steps to reach 1)

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

48,867,010 24,433,505 73,300,516 36,650,258 18,325,129 54,975,388 27,487,694 13,743,847 41,231,542 20,615,771 61,847,314 30,923,657 92,770,972 46,385,486 23,192,743 69,578,230 34,789,115 104,367,346 52,183,673 156,551,020 78,275,510 39,137,755 117,413,266 58,706,633 176,119,900 88,059,950 44,029,975 132,089,926 66,044,963 198,134,890 99,067,445 297,202,336 148,601,168 74,300,584 37,150,292 18,575,146 9,287,573 27,862,720 13,931,360 6,965,680 3,482,840 1,741,420 870,710 435,355 1,306,066 653,033 1,959,100 979,550 489,775 1,469,326 734,663 2,203,990 1,101,995 3,305,986 1,652,993 4,958,980 2,479,490 1,239,745 3,719,236 1,859,618

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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