λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,132,864

4,132,864

212 × 1009
Abundant Even Composite

4,132,864 factors as 2^12 × 1009. Its 26 positive divisors give a proper-divisor sum of 4,140,046, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^12 × 1009
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 26
Divisor Sum (σ) 8,272,910
Proper Divisor Sum 4,140,046
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4132831 ← → #4132867

Radix Representation

Decimal 4132864
Binary 1111110001000000000000 (22 bits)
Octal 0o17610000
Hexadecimal 0x3F1000

Divisor Catalog (26)

1 2 4 8 16 32 64 128 256 512 1,009 1,024 2,018 2,048 4,036 4,096 8,072 16,144 32,288 64,576 129,152 258,304 516,608 1,033,216 2,066,432 4,132,864

Collatz Trajectory (123 steps to reach 1)

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

4,132,864 2,066,432 1,033,216 516,608 258,304 129,152 64,576 32,288 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,132,863 Browse Full Index Next Integer #4,132,865 →