830,702

2 × 313 × 1327

830,702 factors as 2 × 313 × 1327. Its 8 positive divisors give a proper-divisor sum of 420,274, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 313 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,250,976

Proper Divisor Sum 420,274

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #830693 ← → #830719

Radix Representation

Decimal	830702
Binary	11001010110011101110 (20 bits)
Octal	0o3126356
Hexadecimal	0xCACEE

Divisor Catalog (8)

1 2 313 626 1,327 2,654 415,351 830,702

Collatz Trajectory (175 steps to reach 1)

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

830,702 415,351 1,246,054 623,027 1,869,082 934,541 2,803,624 1,401,812 700,906 350,453 1,051,360 525,680 262,840 131,420 65,710 32,855 98,566 49,283 147,850 73,925 221,776 110,888 55,444 27,722 13,861 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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