6,938,764

2² × 7 × 247813

6,938,764 factors as 2^2 × 7 × 247813. Its 12 positive divisors give a proper-divisor sum of 6,938,820, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 247813

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,877,584

Proper Divisor Sum 6,938,820

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6938749 ← → #6938773

Radix Representation

Decimal	6938764
Binary	11010011110000010001100 (23 bits)
Octal	0o32360214
Hexadecimal	0x69E08C

Divisor Catalog (12)

1 2 4 7 14 28 247,813 495,626 991,252 1,734,691 3,469,382 6,938,764

Collatz Trajectory (191 steps to reach 1)

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

6,938,764 3,469,382 1,734,691 5,204,074 2,602,037 7,806,112 3,903,056 1,951,528 975,764 487,882 243,941 731,824 365,912 182,956 91,478 45,739 137,218 68,609 205,828 102,914 51,457 154,372 77,186 38,593 115,780 57,890 28,945 86,836 43,418 21,709 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225

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