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Atlas › Integer Profiles › Node 11,645,112

11,645,112

23 × 3 × 467 × 1039
Abundant Even Composite

11,645,112 factors as 2^3 × 3 × 467 × 1039. Its 32 positive divisors give a proper-divisor sum of 17,558,088, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 467 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,203,200
Proper Divisor Sum 17,558,088
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11645111 ← → #11645113

Radix Representation

Decimal 11645112
Binary 101100011011000010111000 (24 bits)
Octal 0o54330270
Hexadecimal 0xB1B0B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 467 934 1,039 1,401 1,868 2,078 2,802 3,117 3,736 4,156 5,604 6,234 8,312 11,208 12,468 24,936 485,213 970,426 1,455,639 1,940,852 2,911,278 3,881,704 5,822,556 11,645,112

Collatz Trajectory (184 steps to reach 1)

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

11,645,112 5,822,556 2,911,278 1,455,639 4,366,918 2,183,459 6,550,378 3,275,189 9,825,568 4,912,784 2,456,392 1,228,196 614,098 307,049 921,148 460,574 230,287 690,862 345,431 1,036,294 518,147 1,554,442 777,221 2,331,664 1,165,832 582,916 291,458 145,729 437,188 218,594 109,297 327,892 163,946 81,973 245,920 122,960 61,480 30,740 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056

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