λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,000,006
82,000,006
2 × 112 × 167 × 2029
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11^2 × 167 × 2029
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 136,074,960
Proper Divisor Sum 54,074,954
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #81999997 ← → #82000031

Radix Representation

Decimal 82000006
Binary 100111000110011100010000110 (27 bits)
Octal 0o470634206
Hexadecimal 0x4E33886

Divisor Catalog (24)

1 2 11 22 121 167 242 334 1,837 2,029 3,674 4,058 20,207 22,319 40,414 44,638 245,509 338,843 491,018 677,686 3,727,273 7,454,546 41,000,003 82,000,006

Collatz Trajectory (161 steps to reach 1)

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

82,000,006 41,000,003 123,000,010 61,500,005 184,500,016 92,250,008 46,125,004 23,062,502 11,531,251 34,593,754 17,296,877 51,890,632 25,945,316 12,972,658 6,486,329 19,458,988 9,729,494 4,864,747 14,594,242 7,297,121 21,891,364 10,945,682 5,472,841 16,418,524 8,209,262 4,104,631 12,313,894 6,156,947 18,470,842 9,235,421 27,706,264 13,853,132 6,926,566 3,463,283 10,389,850 5,194,925 15,584,776 7,792,388 3,896,194 1,948,097 5,844,292 2,922,146 1,461,073 4,383,220 2,191,610 1,095,805 3,287,416 1,643,708 821,854 410,927 1,232,782 616,391 1,849,174 924,587 2,773,762 1,386,881 4,160,644 2,080,322 1,040,161 3,120,484

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
← Previous Integer #82,000,005 Browse Full Index Next Integer #82,000,007 →