λ
Zalai Atlas

9,138,928

24 × 17 × 33599
Abundant Even Composite

9,138,928 has the prime decomposition 2^4 × 17 × 33599. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 33599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,748,800
Proper Divisor Sum 9,609,872
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9138917 ← → #9138929

Radix Representation

Decimal 9138928
Binary 100010110111001011110000 (24 bits)
Octal 0o42671360
Hexadecimal 0x8B72F0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 33,599 67,198 134,396 268,792 537,584 571,183 1,142,366 2,284,732 4,569,464 9,138,928

Collatz Trajectory (80 steps to reach 1)

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

9,138,928 4,569,464 2,284,732 1,142,366 571,183 1,713,550 856,775 2,570,326 1,285,163 3,855,490 1,927,745 5,783,236 2,891,618 1,445,809 4,337,428 2,168,714 1,084,357 3,253,072 1,626,536 813,268 406,634 203,317 609,952 304,976 152,488 76,244 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613

More profiles

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