λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,944,874

3,944,874

2 × 3 × 31 × 127 × 167
Abundant Even Composite

3,944,874 factors as 2 × 3 × 31 × 127 × 167. Its 32 positive divisors give a proper-divisor sum of 4,312,662, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 127 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,257,536
Proper Divisor Sum 4,312,662
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3944873 ← → #3944881

Radix Representation

Decimal 3944874
Binary 1111000011000110101010 (22 bits)
Octal 0o17030652
Hexadecimal 0x3C31AA

Divisor Catalog (32)

1 2 3 6 31 62 93 127 167 186 254 334 381 501 762 1,002 3,937 5,177 7,874 10,354 11,811 15,531 21,209 23,622 31,062 42,418 63,627 127,254 657,479 1,314,958 1,972,437 3,944,874

Collatz Trajectory (154 steps to reach 1)

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

3,944,874 1,972,437 5,917,312 2,958,656 1,479,328 739,664 369,832 184,916 92,458 46,229 138,688 69,344 34,672 17,336 8,668 4,334 2,167 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,944,873 Browse Full Index Next Integer #3,944,875 →