6,765,892

2² × 7 × 241639

6,765,892 factors as 2^2 × 7 × 241639. Its 12 positive divisors give a proper-divisor sum of 6,765,948, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 241639

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,531,840

Proper Divisor Sum 6,765,948

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6765823 ← → #6765893

Radix Representation

Decimal	6765892
Binary	11001110011110101000100 (23 bits)
Octal	0o31636504
Hexadecimal	0x673D44

Divisor Catalog (12)

1 2 4 7 14 28 241,639 483,278 966,556 1,691,473 3,382,946 6,765,892

Collatz Trajectory (108 steps to reach 1)

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

6,765,892 3,382,946 1,691,473 5,074,420 2,537,210 1,268,605 3,805,816 1,902,908 951,454 475,727 1,427,182 713,591 2,140,774 1,070,387 3,211,162 1,605,581 4,816,744 2,408,372 1,204,186 602,093 1,806,280 903,140 451,570 225,785 677,356 338,678 169,339 508,018 254,009 762,028 381,014 190,507 571,522 285,761 857,284 428,642 214,321 642,964 321,482 160,741 482,224 241,112 120,556 60,278 30,139 90,418 45,209 135,628 67,814 33,907 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610 14,305 42,916

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