6,828,992

2⁶ × 106703

6,828,992 factors as 2^6 × 106703. Its 14 positive divisors give a proper-divisor sum of 6,722,416, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^6 × 106703

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 13,551,408

Proper Divisor Sum 6,722,416

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #6828989 ← → #6829033

Radix Representation

Decimal	6828992
Binary	11010000011001111000000 (23 bits)
Octal	0o32031700
Hexadecimal	0x6833C0

Divisor Catalog (14)

1 2 4 8 16 32 64 106,703 213,406 426,812 853,624 1,707,248 3,414,496 6,828,992

Collatz Trajectory (178 steps to reach 1)

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

6,828,992 3,414,496 1,707,248 853,624 426,812 213,406 106,703 320,110 160,055 480,166 240,083 720,250 360,125 1,080,376 540,188 270,094 135,047 405,142 202,571 607,714 303,857 911,572 455,786 227,893 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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