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Atlas › Integer Profiles › Node 6,233,346

6,233,346

2 × 32 × 7 × 61 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 61 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,707,328
Proper Divisor Sum 9,473,982
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6233341 ← → #6233377

Radix Representation

Decimal 6233346
Binary 10111110001110100000010 (23 bits)
Octal 0o27616402
Hexadecimal 0x5F1D02

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 811 854 1,098 1,281 1,622 2,433 2,562 3,843 4,866 5,677 7,299 7,686 11,354 14,598 17,031 34,062 49,471 51,093 98,942 102,186 148,413 296,826 346,297 445,239 692,594 890,478 1,038,891 2,077,782 3,116,673 6,233,346

Collatz Trajectory (227 steps to reach 1)

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

6,233,346 3,116,673 9,350,020 4,675,010 2,337,505 7,012,516 3,506,258 1,753,129 5,259,388 2,629,694 1,314,847 3,944,542 1,972,271 5,916,814 2,958,407 8,875,222 4,437,611 13,312,834 6,656,417 19,969,252 9,984,626 4,992,313 14,976,940 7,488,470 3,744,235 11,232,706 5,616,353 16,849,060 8,424,530 4,212,265 12,636,796 6,318,398 3,159,199 9,477,598 4,738,799 14,216,398 7,108,199 21,324,598 10,662,299 31,986,898 15,993,449 47,980,348 23,990,174 11,995,087 35,985,262 17,992,631 53,977,894 26,988,947 80,966,842 40,483,421 121,450,264 60,725,132 30,362,566 15,181,283 45,543,850 22,771,925 68,315,776 34,157,888 17,078,944 8,539,472

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