λ
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9,293,128

23 × 13 × 19 × 4703
Abundant Even Composite

9,293,128 factors as 2^3 × 13 × 19 × 4703. Its 32 positive divisors give a proper-divisor sum of 10,463,672, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 19 × 4703
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,756,800
Proper Divisor Sum 10,463,672
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9293107 ← → #9293129

Radix Representation

Decimal 9293128
Binary 100011011100110101001000 (24 bits)
Octal 0o43346510
Hexadecimal 0x8DCD48

Divisor Catalog (32)

1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1,976 4,703 9,406 18,812 37,624 61,139 89,357 122,278 178,714 244,556 357,428 489,112 714,856 1,161,641 2,323,282 4,646,564 9,293,128

Collatz Trajectory (163 steps to reach 1)

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

9,293,128 4,646,564 2,323,282 1,161,641 3,484,924 1,742,462 871,231 2,613,694 1,306,847 3,920,542 1,960,271 5,880,814 2,940,407 8,821,222 4,410,611 13,231,834 6,615,917 19,847,752 9,923,876 4,961,938 2,480,969 7,442,908 3,721,454 1,860,727 5,582,182 2,791,091 8,373,274 4,186,637 12,559,912 6,279,956 3,139,978 1,569,989 4,709,968 2,354,984 1,177,492 588,746 294,373 883,120 441,560 220,780 110,390 55,195 165,586 82,793 248,380 124,190 62,095 186,286 93,143 279,430 139,715 419,146 209,573 628,720 314,360 157,180 78,590 39,295 117,886 58,943

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