830,473

7 × 29 × 4091

830,473 factors as 7 × 29 × 4091. Its 8 positive divisors give a proper-divisor sum of 151,607, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 7 × 29 × 4091

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 982,080

Proper Divisor Sum 151,607

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #830449 ← → #830477

Radix Representation

Decimal	830473
Binary	11001010110000001001 (20 bits)
Octal	0o3126011
Hexadecimal	0xCAC09

Divisor Catalog (8)

1 7 29 203 4,091 28,637 118,639 830,473

Collatz Trajectory (136 steps to reach 1)

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

830,473 2,491,420 1,245,710 622,855 1,868,566 934,283 2,802,850 1,401,425 4,204,276 2,102,138 1,051,069 3,153,208 1,576,604 788,302 394,151 1,182,454 591,227 1,773,682 886,841 2,660,524 1,330,262 665,131 1,995,394 997,697 2,993,092 1,496,546 748,273 2,244,820 1,122,410 561,205 1,683,616 841,808 420,904 210,452 105,226 52,613 157,840 78,920 39,460 19,730 9,865 29,596 14,798 7,399 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #830,472 Browse Full Index Next Integer #830,474 →