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Atlas › Integer Profiles › Node 6,789,657

6,789,657

3 × 7 × 43 × 73 × 103
Deficient Odd Composite

6,789,657 factors as 3 × 7 × 43 × 73 × 103. Its 32 positive divisors give a proper-divisor sum of 4,046,311, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 7 × 43 × 73 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,835,968
Proper Divisor Sum 4,046,311
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6789637 ← → #6789701

Radix Representation

Decimal 6789657
Binary 11001111001101000011001 (23 bits)
Octal 0o31715031
Hexadecimal 0x679A19

Divisor Catalog (32)

1 3 7 21 43 73 103 129 219 301 309 511 721 903 1,533 2,163 3,139 4,429 7,519 9,417 13,287 21,973 22,557 31,003 52,633 65,919 93,009 157,899 323,317 969,951 2,263,219 6,789,657

Collatz Trajectory (165 steps to reach 1)

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

6,789,657 20,368,972 10,184,486 5,092,243 15,276,730 7,638,365 22,915,096 11,457,548 5,728,774 2,864,387 8,593,162 4,296,581 12,889,744 6,444,872 3,222,436 1,611,218 805,609 2,416,828 1,208,414 604,207 1,812,622 906,311 2,718,934 1,359,467 4,078,402 2,039,201 6,117,604 3,058,802 1,529,401 4,588,204 2,294,102 1,147,051 3,441,154 1,720,577 5,161,732 2,580,866 1,290,433 3,871,300 1,935,650 967,825 2,903,476 1,451,738 725,869 2,177,608 1,088,804 544,402 272,201 816,604 408,302 204,151 612,454 306,227 918,682 459,341 1,378,024 689,012 344,506 172,253 516,760 258,380

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