λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,603,336

3,603,336

23 × 3 × 11 × 13649
Abundant Even Composite

3,603,336 factors as 2^3 × 3 × 11 × 13649. Its 32 positive divisors give a proper-divisor sum of 6,224,664, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,828,000
Proper Divisor Sum 6,224,664
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3603329 ← → #3603361

Radix Representation

Decimal 3603336
Binary 1101101111101110001000 (22 bits)
Octal 0o15575610
Hexadecimal 0x36FB88

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 13,649 27,298 40,947 54,596 81,894 109,192 150,139 163,788 300,278 327,576 450,417 600,556 900,834 1,201,112 1,801,668 3,603,336

Collatz Trajectory (115 steps to reach 1)

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

3,603,336 1,801,668 900,834 450,417 1,351,252 675,626 337,813 1,013,440 506,720 253,360 126,680 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,603,335 Browse Full Index Next Integer #3,603,337 →