λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,636,624

9,636,624

24 × 33 × 22307
Abundant Even Composite

9,636,624 factors as 2^4 × 3^3 × 22307. Its 40 positive divisors give a proper-divisor sum of 18,025,296, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 22307
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,661,920
Proper Divisor Sum 18,025,296
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9636623 ← → #9636631

Radix Representation

Decimal 9636624
Binary 100100110000101100010000 (24 bits)
Octal 0o44605420
Hexadecimal 0x930B10

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 22,307 44,614 66,921 89,228 133,842 178,456 200,763 267,684 356,912 401,526 535,368 602,289 803,052 1,070,736 1,204,578 1,606,104 2,409,156 3,212,208 4,818,312 9,636,624

Collatz Trajectory (163 steps to reach 1)

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

9,636,624 4,818,312 2,409,156 1,204,578 602,289 1,806,868 903,434 451,717 1,355,152 677,576 338,788 169,394 84,697 254,092 127,046 63,523 190,570 95,285 285,856 142,928 71,464 35,732 17,866 8,933 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,636,623 Browse Full Index Next Integer #9,636,625 →