λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,982,296
31,982,296
23 × 41 × 281 × 347
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 41 × 281 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,825,680
Proper Divisor Sum 29,843,384
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #31982261 ← → #31982299

Radix Representation

Decimal 31982296
Binary 1111010000000001011011000 (25 bits)
Octal 0o172001330
Hexadecimal 0x1E802D8

Divisor Catalog (32)

1 2 4 8 41 82 164 281 328 347 562 694 1,124 1,388 2,248 2,776 11,521 14,227 23,042 28,454 46,084 56,908 92,168 97,507 113,816 195,014 390,028 780,056 3,997,787 7,995,574 15,991,148 31,982,296

Collatz Trajectory (126 steps to reach 1)

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

31,982,296 15,991,148 7,995,574 3,997,787 11,993,362 5,996,681 17,990,044 8,995,022 4,497,511 13,492,534 6,746,267 20,238,802 10,119,401 30,358,204 15,179,102 7,589,551 22,768,654 11,384,327 34,152,982 17,076,491 51,229,474 25,614,737 76,844,212 38,422,106 19,211,053 57,633,160 28,816,580 14,408,290 7,204,145 21,612,436 10,806,218 5,403,109 16,209,328 8,104,664 4,052,332 2,026,166 1,013,083 3,039,250 1,519,625 4,558,876 2,279,438 1,139,719 3,419,158 1,709,579 5,128,738 2,564,369 7,693,108 3,846,554 1,923,277 5,769,832 2,884,916 1,442,458 721,229 2,163,688 1,081,844 540,922 270,461 811,384 405,692 202,846

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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