λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,923,330
47,923,330
2 × 5 × 7 × 132 × 4051
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 4051
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,778,304
Proper Divisor Sum 58,854,974
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #47923327 ← → #47923331

Radix Representation

Decimal 47923330
Binary 10110110110100000010000010 (26 bits)
Octal 0o266640202
Hexadecimal 0x2DB4082

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1,183 1,690 2,366 4,051 5,915 8,102 11,830 20,255 28,357 40,510 52,663 56,714 105,326 141,785 263,315 283,570 368,641 526,630 684,619 737,282 1,369,238 1,843,205 3,423,095 3,686,410 4,792,333 6,846,190 9,584,666 23,961,665 47,923,330

Collatz Trajectory (199 steps to reach 1)

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

47,923,330 23,961,665 71,884,996 35,942,498 17,971,249 53,913,748 26,956,874 13,478,437 40,435,312 20,217,656 10,108,828 5,054,414 2,527,207 7,581,622 3,790,811 11,372,434 5,686,217 17,058,652 8,529,326 4,264,663 12,793,990 6,396,995 19,190,986 9,595,493 28,786,480 14,393,240 7,196,620 3,598,310 1,799,155 5,397,466 2,698,733 8,096,200 4,048,100 2,024,050 1,012,025 3,036,076 1,518,038 759,019 2,277,058 1,138,529 3,415,588 1,707,794 853,897 2,561,692 1,280,846 640,423 1,921,270 960,635 2,881,906 1,440,953 4,322,860 2,161,430 1,080,715 3,242,146 1,621,073 4,863,220 2,431,610 1,215,805 3,647,416 1,823,708

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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