6,835,166

2 × 13 × 151 × 1741

6,835,166 factors as 2 × 13 × 151 × 1741. Its 16 positive divisors give a proper-divisor sum of 4,285,762, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 13 × 151 × 1741

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,120,928

Proper Divisor Sum 4,285,762

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6835109 ← → #6835177

Radix Representation

Decimal	6835166
Binary	11010000100101111011110 (23 bits)
Octal	0o32045736
Hexadecimal	0x684BDE

Divisor Catalog (16)

1 2 13 26 151 302 1,741 1,963 3,482 3,926 22,633 45,266 262,891 525,782 3,417,583 6,835,166

Collatz Trajectory (134 steps to reach 1)

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

6,835,166 3,417,583 10,252,750 5,126,375 15,379,126 7,689,563 23,068,690 11,534,345 34,603,036 17,301,518 8,650,759 25,952,278 12,976,139 38,928,418 19,464,209 58,392,628 29,196,314 14,598,157 43,794,472 21,897,236 10,948,618 5,474,309 16,422,928 8,211,464 4,105,732 2,052,866 1,026,433 3,079,300 1,539,650 769,825 2,309,476 1,154,738 577,369 1,732,108 866,054 433,027 1,299,082 649,541 1,948,624 974,312 487,156 243,578 121,789 365,368 182,684 91,342 45,671 137,014 68,507 205,522 102,761 308,284 154,142 77,071 231,214 115,607 346,822 173,411 520,234 260,117

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