6,133,386

2 × 3 × 7 × 146033

6,133,386 factors as 2 × 3 × 7 × 146033. Its 16 positive divisors give a proper-divisor sum of 7,885,878, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 146033

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,019,264

Proper Divisor Sum 7,885,878

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6133373 ← → #6133411

Radix Representation

Decimal	6133386
Binary	10111011001011010001010 (23 bits)
Octal	0o27313212
Hexadecimal	0x5D968A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 146,033 292,066 438,099 876,198 1,022,231 2,044,462 3,066,693 6,133,386

Collatz Trajectory (103 steps to reach 1)

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

6,133,386 3,066,693 9,200,080 4,600,040 2,300,020 1,150,010 575,005 1,725,016 862,508 431,254 215,627 646,882 323,441 970,324 485,162 242,581 727,744 363,872 181,936 90,968 45,484 22,742 11,371 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084

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