λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,754,432

3,754,432

26 × 11 × 5333
Abundant Even Composite

3,754,432 factors as 2^6 × 11 × 5333. Its 28 positive divisors give a proper-divisor sum of 4,374,584, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 5333
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,129,016
Proper Divisor Sum 4,374,584
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3754423 ← → #3754469

Radix Representation

Decimal 3754432
Binary 1110010100100111000000 (22 bits)
Octal 0o16244700
Hexadecimal 0x3949C0

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 5,333 10,666 21,332 42,664 58,663 85,328 117,326 170,656 234,652 341,312 469,304 938,608 1,877,216 3,754,432

Collatz Trajectory (128 steps to reach 1)

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

3,754,432 1,877,216 938,608 469,304 234,652 117,326 58,663 175,990 87,995 263,986 131,993 395,980 197,990 98,995 296,986 148,493 445,480 222,740 111,370 55,685 167,056 83,528 41,764 20,882 10,441 31,324 15,662 7,831 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,754,431 Browse Full Index Next Integer #3,754,433 →