λ
Ratio Atlas

5,846,268

22 × 3 × 131 × 3719
Abundant Even Composite

5,846,268 factors as 2^2 × 3 × 131 × 3719. Its 24 positive divisors give a proper-divisor sum of 7,902,852, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 131 × 3719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,749,120
Proper Divisor Sum 7,902,852
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5846263 ← → #5846273

Radix Representation

Decimal 5846268
Binary 10110010011010011111100 (23 bits)
Octal 0o26232374
Hexadecimal 0x5934FC

Divisor Catalog (24)

1 2 3 4 6 12 131 262 393 524 786 1,572 3,719 7,438 11,157 14,876 22,314 44,628 487,189 974,378 1,461,567 1,948,756 2,923,134 5,846,268

Collatz Trajectory (183 steps to reach 1)

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

5,846,268 2,923,134 1,461,567 4,384,702 2,192,351 6,577,054 3,288,527 9,865,582 4,932,791 14,798,374 7,399,187 22,197,562 11,098,781 33,296,344 16,648,172 8,324,086 4,162,043 12,486,130 6,243,065 18,729,196 9,364,598 4,682,299 14,046,898 7,023,449 21,070,348 10,535,174 5,267,587 15,802,762 7,901,381 23,704,144 11,852,072 5,926,036 2,963,018 1,481,509 4,444,528 2,222,264 1,111,132 555,566 277,783 833,350 416,675 1,250,026 625,013 1,875,040 937,520 468,760 234,380 117,190 58,595 175,786 87,893 263,680 131,840 65,920 32,960 16,480 8,240 4,120 2,060 1,030

More profiles

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