830,739

3 × 7 × 13 × 17 × 179

830,739 has the prime decomposition 3 × 7 × 13 × 17 × 179. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 17 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,451,520

Proper Divisor Sum 620,781

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #830729 ← → #830741

Radix Representation

Decimal	830739
Binary	11001010110100010011 (20 bits)
Octal	0o3126423
Hexadecimal	0xCAD13

Divisor Catalog (32)

1 3 7 13 17 21 39 51 91 119 179 221 273 357 537 663 1,253 1,547 2,327 3,043 3,759 4,641 6,981 9,129 16,289 21,301 39,559 48,867 63,903 118,677 276,913 830,739

Collatz Trajectory (175 steps to reach 1)

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

830,739 2,492,218 1,246,109 3,738,328 1,869,164 934,582 467,291 1,401,874 700,937 2,102,812 1,051,406 525,703 1,577,110 788,555 2,365,666 1,182,833 3,548,500 1,774,250 887,125 2,661,376 1,330,688 665,344 332,672 166,336 83,168 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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