λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,425,255
82,425,255
3 × 5 × 11 × 109 × 4583
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 109 × 4583
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 145,221,120
Proper Divisor Sum 62,795,865
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #82425253 ← → #82425269

Radix Representation

Decimal 82425255
Binary 100111010011011010110100111 (27 bits)
Octal 0o472332647
Hexadecimal 0x4E9B5A7

Divisor Catalog (32)

1 3 5 11 15 33 55 109 165 327 545 1,199 1,635 3,597 4,583 5,995 13,749 17,985 22,915 50,413 68,745 151,239 252,065 499,547 756,195 1,498,641 2,497,735 5,495,017 7,493,205 16,485,051 27,475,085 82,425,255

Collatz Trajectory (223 steps to reach 1)

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

82,425,255 247,275,766 123,637,883 370,913,650 185,456,825 556,370,476 278,185,238 139,092,619 417,277,858 208,638,929 625,916,788 312,958,394 156,479,197 469,437,592 234,718,796 117,359,398 58,679,699 176,039,098 88,019,549 264,058,648 132,029,324 66,014,662 33,007,331 99,021,994 49,510,997 148,532,992 74,266,496 37,133,248 18,566,624 9,283,312 4,641,656 2,320,828 1,160,414 580,207 1,740,622 870,311 2,610,934 1,305,467 3,916,402 1,958,201 5,874,604 2,937,302 1,468,651 4,405,954 2,202,977 6,608,932 3,304,466 1,652,233 4,956,700 2,478,350 1,239,175 3,717,526 1,858,763 5,576,290 2,788,145 8,364,436 4,182,218 2,091,109 6,273,328 3,136,664

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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