λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,832,664
9,832,664
23 × 17 × 197 × 367
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 17 × 197 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,673,280
Proper Divisor Sum 9,840,616
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9832663 ← → #9832679

Radix Representation

Decimal 9832664
Binary 100101100000100011011000 (24 bits)
Octal 0o45404330
Hexadecimal 0x9608D8

Divisor Catalog (32)

1 2 4 8 17 34 68 136 197 367 394 734 788 1,468 1,576 2,936 3,349 6,239 6,698 12,478 13,396 24,956 26,792 49,912 72,299 144,598 289,196 578,392 1,229,083 2,458,166 4,916,332 9,832,664

Collatz Trajectory (168 steps to reach 1)

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

9,832,664 4,916,332 2,458,166 1,229,083 3,687,250 1,843,625 5,530,876 2,765,438 1,382,719 4,148,158 2,074,079 6,222,238 3,111,119 9,333,358 4,666,679 14,000,038 7,000,019 21,000,058 10,500,029 31,500,088 15,750,044 7,875,022 3,937,511 11,812,534 5,906,267 17,718,802 8,859,401 26,578,204 13,289,102 6,644,551 19,933,654 9,966,827 29,900,482 14,950,241 44,850,724 22,425,362 11,212,681 33,638,044 16,819,022 8,409,511 25,228,534 12,614,267 37,842,802 18,921,401 56,764,204 28,382,102 14,191,051 42,573,154 21,286,577 63,859,732 31,929,866 15,964,933 47,894,800 23,947,400 11,973,700 5,986,850 2,993,425 8,980,276 4,490,138 2,245,069

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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