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Atlas › Integer Profiles › Node 9,107,744

9,107,744

25 × 43 × 6619
Abundant Even Composite

9,107,744 factors as 2^5 × 43 × 6619. Its 24 positive divisors give a proper-divisor sum of 9,242,896, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^5 × 43 × 6619
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,350,640
Proper Divisor Sum 9,242,896
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9107743 ← → #9107773

Radix Representation

Decimal 9107744
Binary 100010101111100100100000 (24 bits)
Octal 0o42574440
Hexadecimal 0x8AF920

Divisor Catalog (24)

1 2 4 8 16 32 43 86 172 344 688 1,376 6,619 13,238 26,476 52,952 105,904 211,808 284,617 569,234 1,138,468 2,276,936 4,553,872 9,107,744

Collatz Trajectory (132 steps to reach 1)

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

9,107,744 4,553,872 2,276,936 1,138,468 569,234 284,617 853,852 426,926 213,463 640,390 320,195 960,586 480,293 1,440,880 720,440 360,220 180,110 90,055 270,166 135,083 405,250 202,625 607,876 303,938 151,969 455,908 227,954 113,977 341,932 170,966 85,483 256,450 128,225 384,676 192,338 96,169 288,508 144,254 72,127 216,382 108,191 324,574 162,287 486,862 243,431 730,294 365,147 1,095,442 547,721 1,643,164 821,582 410,791 1,232,374 616,187 1,848,562 924,281 2,772,844 1,386,422 693,211 2,079,634

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