λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,331,968

5,331,968

210 × 41 × 127
Abundant Even Composite

5,331,968 factors as 2^10 × 41 × 127. Its 44 positive divisors give a proper-divisor sum of 5,672,704, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^10 × 41 × 127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 11,004,672
Proper Divisor Sum 5,672,704
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5331941 ← → #5331971

Radix Representation

Decimal 5331968
Binary 10100010101110000000000 (23 bits)
Octal 0o24256000
Hexadecimal 0x515C00

Divisor Catalog (44)

1 2 4 8 16 32 41 64 82 127 128 164 254 256 328 508 512 656 1,016 1,024 1,312 2,032 2,624 4,064 5,207 5,248 8,128 10,414 10,496 16,256 20,828 20,992 32,512 41,656 41,984 65,024 83,312 130,048 166,624 333,248 666,496 1,332,992 2,665,984 5,331,968

Collatz Trajectory (113 steps to reach 1)

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

5,331,968 2,665,984 1,332,992 666,496 333,248 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,331,967 Browse Full Index Next Integer #5,331,969 →