λ
Prime Ledger

8,124,318

2 × 32 × 601 × 751
Abundant Even Composite

8,124,318 has the prime decomposition 2 × 3^2 × 601 × 751. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 601 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,655,456
Proper Divisor Sum 9,531,138
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8124307 ← → #8124323

Radix Representation

Decimal 8124318
Binary 11110111111011110011110 (23 bits)
Octal 0o36773636
Hexadecimal 0x7BF79E

Divisor Catalog (24)

1 2 3 6 9 18 601 751 1,202 1,502 1,803 2,253 3,606 4,506 5,409 6,759 10,818 13,518 451,351 902,702 1,354,053 2,708,106 4,062,159 8,124,318

Collatz Trajectory (186 steps to reach 1)

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

8,124,318 4,062,159 12,186,478 6,093,239 18,279,718 9,139,859 27,419,578 13,709,789 41,129,368 20,564,684 10,282,342 5,141,171 15,423,514 7,711,757 23,135,272 11,567,636 5,783,818 2,891,909 8,675,728 4,337,864 2,168,932 1,084,466 542,233 1,626,700 813,350 406,675 1,220,026 610,013 1,830,040 915,020 457,510 228,755 686,266 343,133 1,029,400 514,700 257,350 128,675 386,026 193,013 579,040 289,520 144,760 72,380 36,190 18,095 54,286 27,143 81,430 40,715 122,146 61,073 183,220 91,610 45,805 137,416 68,708 34,354 17,177 51,532

More profiles

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