λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,576,102
42,576,102
2 × 32 × 792 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 79^2 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 93,677,220
Proper Divisor Sum 51,101,118
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #42576101 ← → #42576103

Radix Representation

Decimal 42576102
Binary 10100010011010100011100110 (26 bits)
Octal 0o242324346
Hexadecimal 0x289A8E6

Divisor Catalog (36)

1 2 3 6 9 18 79 158 237 379 474 711 758 1,137 1,422 2,274 3,411 6,241 6,822 12,482 18,723 29,941 37,446 56,169 59,882 89,823 112,338 179,646 269,469 538,938 2,365,339 4,730,678 7,096,017 14,192,034 21,288,051 42,576,102

Collatz Trajectory (191 steps to reach 1)

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

42,576,102 21,288,051 63,864,154 31,932,077 95,796,232 47,898,116 23,949,058 11,974,529 35,923,588 17,961,794 8,980,897 26,942,692 13,471,346 6,735,673 20,207,020 10,103,510 5,051,755 15,155,266 7,577,633 22,732,900 11,366,450 5,683,225 17,049,676 8,524,838 4,262,419 12,787,258 6,393,629 19,180,888 9,590,444 4,795,222 2,397,611 7,192,834 3,596,417 10,789,252 5,394,626 2,697,313 8,091,940 4,045,970 2,022,985 6,068,956 3,034,478 1,517,239 4,551,718 2,275,859 6,827,578 3,413,789 10,241,368 5,120,684 2,560,342 1,280,171 3,840,514 1,920,257 5,760,772 2,880,386 1,440,193 4,320,580 2,160,290 1,080,145 3,240,436 1,620,218

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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