λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,290,382
97,290,382
2 × 72 × 127 × 7817
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 127 × 7817
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 171,120,384
Proper Divisor Sum 73,830,002
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #97290379 ← → #97290383

Radix Representation

Decimal 97290382
Binary 101110011001000100010001110 (27 bits)
Octal 0o563104216
Hexadecimal 0x5CC888E

Divisor Catalog (24)

1 2 7 14 49 98 127 254 889 1,778 6,223 7,817 12,446 15,634 54,719 109,438 383,033 766,066 992,759 1,985,518 6,949,313 13,898,626 48,645,191 97,290,382

Collatz Trajectory (231 steps to reach 1)

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

97,290,382 48,645,191 145,935,574 72,967,787 218,903,362 109,451,681 328,355,044 164,177,522 82,088,761 246,266,284 123,133,142 61,566,571 184,699,714 92,349,857 277,049,572 138,524,786 69,262,393 207,787,180 103,893,590 51,946,795 155,840,386 77,920,193 233,760,580 116,880,290 58,440,145 175,320,436 87,660,218 43,830,109 131,490,328 65,745,164 32,872,582 16,436,291 49,308,874 24,654,437 73,963,312 36,981,656 18,490,828 9,245,414 4,622,707 13,868,122 6,934,061 20,802,184 10,401,092 5,200,546 2,600,273 7,800,820 3,900,410 1,950,205 5,850,616 2,925,308 1,462,654 731,327 2,193,982 1,096,991 3,290,974 1,645,487 4,936,462 2,468,231 7,404,694 3,702,347

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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