λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,867,972
48,867,972
22 × 3 × 37 × 110063
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 110063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,108,096
Proper Divisor Sum 68,240,124
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #48867971 ← → #48868003

Radix Representation

Decimal 48867972
Binary 10111010011010101010000100 (26 bits)
Octal 0o272325204
Hexadecimal 0x2E9AA84

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 110,063 220,126 330,189 440,252 660,378 1,320,756 4,072,331 8,144,662 12,216,993 16,289,324 24,433,986 48,867,972

Collatz Trajectory (137 steps to reach 1)

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

48,867,972 24,433,986 12,216,993 36,650,980 18,325,490 9,162,745 27,488,236 13,744,118 6,872,059 20,616,178 10,308,089 30,924,268 15,462,134 7,731,067 23,193,202 11,596,601 34,789,804 17,394,902 8,697,451 26,092,354 13,046,177 39,138,532 19,569,266 9,784,633 29,353,900 14,676,950 7,338,475 22,015,426 11,007,713 33,023,140 16,511,570 8,255,785 24,767,356 12,383,678 6,191,839 18,575,518 9,287,759 27,863,278 13,931,639 41,794,918 20,897,459 62,692,378 31,346,189 94,038,568 47,019,284 23,509,642 11,754,821 35,264,464 17,632,232 8,816,116 4,408,058 2,204,029 6,612,088 3,306,044 1,653,022 826,511 2,479,534 1,239,767 3,719,302 1,859,651

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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