λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,613,620

3,613,620

22 × 3 × 5 × 229 × 263
Abundant Even Composite

3,613,620 factors as 2^2 × 3 × 5 × 229 × 263. Its 48 positive divisors give a proper-divisor sum of 6,587,340, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 229 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,200,960
Proper Divisor Sum 6,587,340
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3613619 ← → #3613633

Radix Representation

Decimal 3613620
Binary 1101110010001110110100 (22 bits)
Octal 0o15621664
Hexadecimal 0x3723B4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 229 263 458 526 687 789 916 1,052 1,145 1,315 1,374 1,578 2,290 2,630 2,748 3,156 3,435 3,945 4,580 5,260 6,870 7,890 13,740 15,780 60,227 120,454 180,681 240,908 301,135 361,362 602,270 722,724 903,405 1,204,540 1,806,810 3,613,620

Collatz Trajectory (159 steps to reach 1)

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

3,613,620 1,806,810 903,405 2,710,216 1,355,108 677,554 338,777 1,016,332 508,166 254,083 762,250 381,125 1,143,376 571,688 285,844 142,922 71,461 214,384 107,192 53,596 26,798 13,399 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,613,619 Browse Full Index Next Integer #3,613,621 →