λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,601,736

5,601,736

23 × 7 × 67 × 1493
Abundant Even Composite

5,601,736 factors as 2^3 × 7 × 67 × 1493. Its 32 positive divisors give a proper-divisor sum of 6,589,304, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 67 × 1493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,191,040
Proper Divisor Sum 6,589,304
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5601703 ← → #5601737

Radix Representation

Decimal 5601736
Binary 10101010111100111001000 (23 bits)
Octal 0o25274710
Hexadecimal 0x5579C8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 67 134 268 469 536 938 1,493 1,876 2,986 3,752 5,972 10,451 11,944 20,902 41,804 83,608 100,031 200,062 400,124 700,217 800,248 1,400,434 2,800,868 5,601,736

Collatz Trajectory (108 steps to reach 1)

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

5,601,736 2,800,868 1,400,434 700,217 2,100,652 1,050,326 525,163 1,575,490 787,745 2,363,236 1,181,618 590,809 1,772,428 886,214 443,107 1,329,322 664,661 1,993,984 996,992 498,496 249,248 124,624 62,312 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,601,735 Browse Full Index Next Integer #5,601,737 →