λ
Ratio Atlas
Atlas › Integer Profiles › Node 92,016,106
92,016,106
2 × 7 × 132 × 38891
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 38891
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 170,813,664
Proper Divisor Sum 78,797,558
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #92016059 ← → #92016131

Radix Representation

Decimal 92016106
Binary 101011111000000110111101010 (27 bits)
Octal 0o537006752
Hexadecimal 0x57C0DEA

Divisor Catalog (24)

1 2 7 13 14 26 91 169 182 338 1,183 2,366 38,891 77,782 272,237 505,583 544,474 1,011,166 3,539,081 6,572,579 7,078,162 13,145,158 46,008,053 92,016,106

Collatz Trajectory (187 steps to reach 1)

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

92,016,106 46,008,053 138,024,160 69,012,080 34,506,040 17,253,020 8,626,510 4,313,255 12,939,766 6,469,883 19,409,650 9,704,825 29,114,476 14,557,238 7,278,619 21,835,858 10,917,929 32,753,788 16,376,894 8,188,447 24,565,342 12,282,671 36,848,014 18,424,007 55,272,022 27,636,011 82,908,034 41,454,017 124,362,052 62,181,026 31,090,513 93,271,540 46,635,770 23,317,885 69,953,656 34,976,828 17,488,414 8,744,207 26,232,622 13,116,311 39,348,934 19,674,467 59,023,402 29,511,701 88,535,104 44,267,552 22,133,776 11,066,888 5,533,444 2,766,722 1,383,361 4,150,084 2,075,042 1,037,521 3,112,564 1,556,282 778,141 2,334,424 1,167,212 583,606

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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