λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,482,736

4,482,736

24 × 503 × 557
Deficient Even Composite

4,482,736 factors as 2^4 × 503 × 557. Its 20 positive divisors give a proper-divisor sum of 4,235,456, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 503 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,718,192
Proper Divisor Sum 4,235,456
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4482721 ← → #4482739

Radix Representation

Decimal 4482736
Binary 10001000110011010110000 (23 bits)
Octal 0o21063260
Hexadecimal 0x4466B0

Divisor Catalog (20)

1 2 4 8 16 503 557 1,006 1,114 2,012 2,228 4,024 4,456 8,048 8,912 280,171 560,342 1,120,684 2,241,368 4,482,736

Collatz Trajectory (136 steps to reach 1)

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

4,482,736 2,241,368 1,120,684 560,342 280,171 840,514 420,257 1,260,772 630,386 315,193 945,580 472,790 236,395 709,186 354,593 1,063,780 531,890 265,945 797,836 398,918 199,459 598,378 299,189 897,568 448,784 224,392 112,196 56,098 28,049 84,148 42,074 21,037 63,112 31,556 15,778 7,889 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,482,735 Browse Full Index Next Integer #4,482,737 →