6,765,688

2³ × 31 × 27281

6,765,688 factors as 2^3 × 31 × 27281. Its 16 positive divisors give a proper-divisor sum of 6,329,672, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 27281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,095,360

Proper Divisor Sum 6,329,672

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #6765683 ← → #6765743

Radix Representation

Decimal	6765688
Binary	11001110011110001111000 (23 bits)
Octal	0o31636170
Hexadecimal	0x673C78

Divisor Catalog (16)

1 2 4 8 31 62 124 248 27,281 54,562 109,124 218,248 845,711 1,691,422 3,382,844 6,765,688

Collatz Trajectory (253 steps to reach 1)

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

6,765,688 3,382,844 1,691,422 845,711 2,537,134 1,268,567 3,805,702 1,902,851 5,708,554 2,854,277 8,562,832 4,281,416 2,140,708 1,070,354 535,177 1,605,532 802,766 401,383 1,204,150 602,075 1,806,226 903,113 2,709,340 1,354,670 677,335 2,032,006 1,016,003 3,048,010 1,524,005 4,572,016 2,286,008 1,143,004 571,502 285,751 857,254 428,627 1,285,882 642,941 1,928,824 964,412 482,206 241,103 723,310 361,655 1,084,966 542,483 1,627,450 813,725 2,441,176 1,220,588 610,294 305,147 915,442 457,721 1,373,164 686,582 343,291 1,029,874 514,937 1,544,812

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