8,309,609

7 × 11 × 311 × 347

8,309,609 factors as 7 × 11 × 311 × 347. Its 16 positive divisors give a proper-divisor sum of 2,113,687, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 7 × 11 × 311 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,423,296

Proper Divisor Sum 2,113,687

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8309599 ← → #8309611

Radix Representation

Decimal	8309609
Binary	11111101100101101101001 (23 bits)
Octal	0o37545551
Hexadecimal	0x7ECB69

Divisor Catalog (16)

1 7 11 77 311 347 2,177 2,429 3,421 3,817 23,947 26,719 107,917 755,419 1,187,087 8,309,609

Collatz Trajectory (80 steps to reach 1)

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

8,309,609 24,928,828 12,464,414 6,232,207 18,696,622 9,348,311 28,044,934 14,022,467 42,067,402 21,033,701 63,101,104 31,550,552 15,775,276 7,887,638 3,943,819 11,831,458 5,915,729 17,747,188 8,873,594 4,436,797 13,310,392 6,655,196 3,327,598 1,663,799 4,991,398 2,495,699 7,487,098 3,743,549 11,230,648 5,615,324 2,807,662 1,403,831 4,211,494 2,105,747 6,317,242 3,158,621 9,475,864 4,737,932 2,368,966 1,184,483 3,553,450 1,776,725 5,330,176 2,665,088 1,332,544 666,272 333,136 166,568 83,284 41,642 20,821 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,309,608 Browse Full Index Next Integer #8,309,610 →