λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,603,640

3,603,640

23 × 5 × 23 × 3917
Abundant Even Composite

3,603,640 factors as 2^3 × 5 × 23 × 3917. Its 32 positive divisors give a proper-divisor sum of 4,859,240, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 3917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,462,880
Proper Divisor Sum 4,859,240
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3603623 ← → #3603659

Radix Representation

Decimal 3603640
Binary 1101101111110010111000 (22 bits)
Octal 0o15576270
Hexadecimal 0x36FCB8

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 3,917 7,834 15,668 19,585 31,336 39,170 78,340 90,091 156,680 180,182 360,364 450,455 720,728 900,910 1,801,820 3,603,640

Collatz Trajectory (159 steps to reach 1)

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

3,603,640 1,801,820 900,910 450,455 1,351,366 675,683 2,027,050 1,013,525 3,040,576 1,520,288 760,144 380,072 190,036 95,018 47,509 142,528 71,264 35,632 17,816 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 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 #3,603,639 Browse Full Index Next Integer #3,603,641 →