6,737,852

2² × 11 × 153133

6,737,852 factors as 2^2 × 11 × 153133. Its 12 positive divisors give a proper-divisor sum of 6,125,404, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 153133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,863,256

Proper Divisor Sum 6,125,404

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6737849 ← → #6737891

Radix Representation

Decimal	6737852
Binary	11001101100111110111100 (23 bits)
Octal	0o31547674
Hexadecimal	0x66CFBC

Divisor Catalog (12)

1 2 4 11 22 44 153,133 306,266 612,532 1,684,463 3,368,926 6,737,852

Collatz Trajectory (160 steps to reach 1)

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

6,737,852 3,368,926 1,684,463 5,053,390 2,526,695 7,580,086 3,790,043 11,370,130 5,685,065 17,055,196 8,527,598 4,263,799 12,791,398 6,395,699 19,187,098 9,593,549 28,780,648 14,390,324 7,195,162 3,597,581 10,792,744 5,396,372 2,698,186 1,349,093 4,047,280 2,023,640 1,011,820 505,910 252,955 758,866 379,433 1,138,300 569,150 284,575 853,726 426,863 1,280,590 640,295 1,920,886 960,443 2,881,330 1,440,665 4,321,996 2,160,998 1,080,499 3,241,498 1,620,749 4,862,248 2,431,124 1,215,562 607,781 1,823,344 911,672 455,836 227,918 113,959 341,878 170,939 512,818 256,409

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