6,936,616

2³ × 23 × 37699

6,936,616 factors as 2^3 × 23 × 37699. Its 16 positive divisors give a proper-divisor sum of 6,635,384, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 37699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,572,000

Proper Divisor Sum 6,635,384

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6936607 ← → #6936619

Radix Representation

Decimal	6936616
Binary	11010011101100000101000 (23 bits)
Octal	0o32354050
Hexadecimal	0x69D828

Divisor Catalog (16)

1 2 4 8 23 46 92 184 37,699 75,398 150,796 301,592 867,077 1,734,154 3,468,308 6,936,616

Collatz Trajectory (191 steps to reach 1)

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

6,936,616 3,468,308 1,734,154 867,077 2,601,232 1,300,616 650,308 325,154 162,577 487,732 243,866 121,933 365,800 182,900 91,450 45,725 137,176 68,588 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223

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