8,313,617

13² × 49193

8,313,617 factors as 13^2 × 49193. Its 6 positive divisors give a proper-divisor sum of 688,885, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 13^2 × 49193

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,002,502

Proper Divisor Sum 688,885

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8313589 ← → #8313619

Radix Representation

Decimal	8313617
Binary	11111101101101100010001 (23 bits)
Octal	0o37555421
Hexadecimal	0x7EDB11

Divisor Catalog (6)

1 13 169 49,193 639,509 8,313,617

Collatz Trajectory (199 steps to reach 1)

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

8,313,617 24,940,852 12,470,426 6,235,213 18,705,640 9,352,820 4,676,410 2,338,205 7,014,616 3,507,308 1,753,654 876,827 2,630,482 1,315,241 3,945,724 1,972,862 986,431 2,959,294 1,479,647 4,438,942 2,219,471 6,658,414 3,329,207 9,987,622 4,993,811 14,981,434 7,490,717 22,472,152 11,236,076 5,618,038 2,809,019 8,427,058 4,213,529 12,640,588 6,320,294 3,160,147 9,480,442 4,740,221 14,220,664 7,110,332 3,555,166 1,777,583 5,332,750 2,666,375 7,999,126 3,999,563 11,998,690 5,999,345 17,998,036 8,999,018 4,499,509 13,498,528 6,749,264 3,374,632 1,687,316 843,658 421,829 1,265,488 632,744 316,372

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,313,616 Browse Full Index Next Integer #8,313,618 →