λ
Ratio Atlas

6,822,631

6822631
Deficient Odd Prime

6,822,631 factors as 6822631. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 6822631
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,822,632
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6822623 ← → #6822659

Radix Representation

Decimal 6822631
Binary 11010000001101011100111 (23 bits)
Octal 0o32015347
Hexadecimal 0x681AE7

Divisor Catalog (2)

Collatz Trajectory (222 steps to reach 1)

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

6,822,631 20,467,894 10,233,947 30,701,842 15,350,921 46,052,764 23,026,382 11,513,191 34,539,574 17,269,787 51,809,362 25,904,681 77,714,044 38,857,022 19,428,511 58,285,534 29,142,767 87,428,302 43,714,151 131,142,454 65,571,227 196,713,682 98,356,841 295,070,524 147,535,262 73,767,631 221,302,894 110,651,447 331,954,342 165,977,171 497,931,514 248,965,757 746,897,272 373,448,636 186,724,318 93,362,159 280,086,478 140,043,239 420,129,718 210,064,859 630,194,578 315,097,289 945,291,868 472,645,934 236,322,967 708,968,902 354,484,451 1,063,453,354 531,726,677 1,595,180,032 797,590,016 398,795,008 199,397,504 99,698,752 49,849,376 24,924,688 12,462,344 6,231,172 3,115,586 1,557,793

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