λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,050,752
82,050,752
26 × 7 × 23 × 7963
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 23 × 7963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 194,194,176
Proper Divisor Sum 112,143,424
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #82050737 ← → #82050779

Radix Representation

Decimal 82050752
Binary 100111000111111111011000000 (27 bits)
Octal 0o470777300
Hexadecimal 0x4E3FEC0

Divisor Catalog (56)

1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1,288 1,472 2,576 5,152 7,963 10,304 15,926 31,852 55,741 63,704 111,482 127,408 183,149 222,964 254,816 366,298 445,928 509,632 732,596 891,856 1,282,043 1,465,192 1,783,712 2,564,086 2,930,384 3,567,424 5,128,172 5,860,768 10,256,344 11,721,536 20,512,688 41,025,376 82,050,752

Collatz Trajectory (104 steps to reach 1)

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

82,050,752 41,025,376 20,512,688 10,256,344 5,128,172 2,564,086 1,282,043 3,846,130 1,923,065 5,769,196 2,884,598 1,442,299 4,326,898 2,163,449 6,490,348 3,245,174 1,622,587 4,867,762 2,433,881 7,301,644 3,650,822 1,825,411 5,476,234 2,738,117 8,214,352 4,107,176 2,053,588 1,026,794 513,397 1,540,192 770,096 385,048 192,524 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135 51,406 25,703 77,110 38,555 115,666 57,833 173,500 86,750

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
← Previous Integer #82,050,751 Browse Full Index Next Integer #82,050,753 →