λ
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Atlas › Integer Profiles › Node 6,901,728

6,901,728

25 × 3 × 17 × 4229
Abundant Even Composite

6,901,728 factors as 2^5 × 3 × 17 × 4229. Its 48 positive divisors give a proper-divisor sum of 12,285,552, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 4229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,187,280
Proper Divisor Sum 12,285,552
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6901717 ← → #6901751

Radix Representation

Decimal 6901728
Binary 11010010100111111100000 (23 bits)
Octal 0o32247740
Hexadecimal 0x694FE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1,632 4,229 8,458 12,687 16,916 25,374 33,832 50,748 67,664 71,893 101,496 135,328 143,786 202,992 215,679 287,572 405,984 431,358 575,144 862,716 1,150,288 1,725,432 2,300,576 3,450,864 6,901,728

Collatz Trajectory (147 steps to reach 1)

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

6,901,728 3,450,864 1,725,432 862,716 431,358 215,679 647,038 323,519 970,558 485,279 1,455,838 727,919 2,183,758 1,091,879 3,275,638 1,637,819 4,913,458 2,456,729 7,370,188 3,685,094 1,842,547 5,527,642 2,763,821 8,291,464 4,145,732 2,072,866 1,036,433 3,109,300 1,554,650 777,325 2,331,976 1,165,988 582,994 291,497 874,492 437,246 218,623 655,870 327,935 983,806 491,903 1,475,710 737,855 2,213,566 1,106,783 3,320,350 1,660,175 4,980,526 2,490,263 7,470,790 3,735,395 11,206,186 5,603,093 16,809,280 8,404,640 4,202,320 2,101,160 1,050,580 525,290 262,645

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