λ
Integer Codex

3,243,804

22 × 3 × 17 × 15901
Abundant Even Composite

For 3,243,804, the 24 positive divisors have a total of 8,014,608. Removing 3,243,804 leaves 4,770,804, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 15901
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,014,608
Proper Divisor Sum 4,770,804
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3243781 ← → #3243811

Radix Representation

Decimal 3243804
Binary 1100010111111100011100 (22 bits)
Octal 0o14277434
Hexadecimal 0x317F1C

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 15,901 31,802 47,703 63,604 95,406 190,812 270,317 540,634 810,951 1,081,268 1,621,902 3,243,804

Collatz Trajectory (102 steps to reach 1)

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

3,243,804 1,621,902 810,951 2,432,854 1,216,427 3,649,282 1,824,641 5,473,924 2,736,962 1,368,481 4,105,444 2,052,722 1,026,361 3,079,084 1,539,542 769,771 2,309,314 1,154,657 3,463,972 1,731,986 865,993 2,597,980 1,298,990 649,495 1,948,486 974,243 2,922,730 1,461,365 4,384,096 2,192,048 1,096,024 548,012 274,006 137,003 411,010 205,505 616,516 308,258 154,129 462,388 231,194 115,597 346,792 173,396 86,698 43,349 130,048 65,024 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574

More profiles

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