6,823,744

2⁶ × 106621

6,823,744 factors as 2^6 × 106621. Its 14 positive divisors give a proper-divisor sum of 6,717,250, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^6 × 106621

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 13,540,994

Proper Divisor Sum 6,717,250

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6823721 ← → #6823757

Radix Representation

Decimal	6823744
Binary	11010000001111101000000 (23 bits)
Octal	0o32017500
Hexadecimal	0x681F40

Divisor Catalog (14)

1 2 4 8 16 32 64 106,621 213,242 426,484 852,968 1,705,936 3,411,872 6,823,744

Collatz Trajectory (85 steps to reach 1)

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

6,823,744 3,411,872 1,705,936 852,968 426,484 213,242 106,621 319,864 159,932 79,966 39,983 119,950 59,975 179,926 89,963 269,890 134,945 404,836 202,418 101,209 303,628 151,814 75,907 227,722 113,861 341,584 170,792 85,396 42,698 21,349 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202

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