λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,223,672

5,223,672

23 × 32 × 72551
Abundant Even Composite

5,223,672 factors as 2^3 × 3^2 × 72551. Its 24 positive divisors give a proper-divisor sum of 8,923,968, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 72551
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,147,640
Proper Divisor Sum 8,923,968
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5223671 ← → #5223679

Radix Representation

Decimal 5223672
Binary 10011111011010011111000 (23 bits)
Octal 0o23732370
Hexadecimal 0x4FB4F8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 72,551 145,102 217,653 290,204 435,306 580,408 652,959 870,612 1,305,918 1,741,224 2,611,836 5,223,672

Collatz Trajectory (157 steps to reach 1)

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

5,223,672 2,611,836 1,305,918 652,959 1,958,878 979,439 2,938,318 1,469,159 4,407,478 2,203,739 6,611,218 3,305,609 9,916,828 4,958,414 2,479,207 7,437,622 3,718,811 11,156,434 5,578,217 16,734,652 8,367,326 4,183,663 12,550,990 6,275,495 18,826,486 9,413,243 28,239,730 14,119,865 42,359,596 21,179,798 10,589,899 31,769,698 15,884,849 47,654,548 23,827,274 11,913,637 35,740,912 17,870,456 8,935,228 4,467,614 2,233,807 6,701,422 3,350,711 10,052,134 5,026,067 15,078,202 7,539,101 22,617,304 11,308,652 5,654,326 2,827,163 8,481,490 4,240,745 12,722,236 6,361,118 3,180,559 9,541,678 4,770,839 14,312,518 7,156,259

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,223,671 Browse Full Index Next Integer #5,223,673 →