λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,921,970
47,921,970
2 × 3 × 5 × 31 × 2272
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 227^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,248,128
Proper Divisor Sum 71,326,158
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #47921969 ← → #47921981

Radix Representation

Decimal 47921970
Binary 10110110110011101100110010 (26 bits)
Octal 0o266635462
Hexadecimal 0x2DB3B32

Divisor Catalog (48)

1 2 3 5 6 10 15 30 31 62 93 155 186 227 310 454 465 681 930 1,135 1,362 2,270 3,405 6,810 7,037 14,074 21,111 35,185 42,222 51,529 70,370 103,058 105,555 154,587 211,110 257,645 309,174 515,290 772,935 1,545,870 1,597,399 3,194,798 4,792,197 7,986,995 9,584,394 15,973,990 23,960,985 47,921,970

Collatz Trajectory (168 steps to reach 1)

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

47,921,970 23,960,985 71,882,956 35,941,478 17,970,739 53,912,218 26,956,109 80,868,328 40,434,164 20,217,082 10,108,541 30,325,624 15,162,812 7,581,406 3,790,703 11,372,110 5,686,055 17,058,166 8,529,083 25,587,250 12,793,625 38,380,876 19,190,438 9,595,219 28,785,658 14,392,829 43,178,488 21,589,244 10,794,622 5,397,311 16,191,934 8,095,967 24,287,902 12,143,951 36,431,854 18,215,927 54,647,782 27,323,891 81,971,674 40,985,837 122,957,512 61,478,756 30,739,378 15,369,689 46,109,068 23,054,534 11,527,267 34,581,802 17,290,901 51,872,704 25,936,352 12,968,176 6,484,088 3,242,044 1,621,022 810,511 2,431,534 1,215,767 3,647,302 1,823,651

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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