6,744,832

2⁸ × 26347

6,744,832 factors as 2^8 × 26347. Its 18 positive divisors give a proper-divisor sum of 6,718,996, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^8 × 26347

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,463,828

Proper Divisor Sum 6,718,996

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6744827 ← → #6744847

Radix Representation

Decimal	6744832
Binary	11001101110101100000000 (23 bits)
Octal	0o31565400
Hexadecimal	0x66EB00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 26,347 52,694 105,388 210,776 421,552 843,104 1,686,208 3,372,416 6,744,832

Collatz Trajectory (178 steps to reach 1)

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

6,744,832 3,372,416 1,686,208 843,104 421,552 210,776 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064 75,032 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199

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