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6,131,676

22 × 3 × 31 × 53 × 311
Abundant Even Composite

6,131,676 factors as 2^2 × 3 × 31 × 53 × 311. Its 48 positive divisors give a proper-divisor sum of 8,964,132, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 53 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,095,808
Proper Divisor Sum 8,964,132
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6131669 ← → #6131681

Radix Representation

Decimal 6131676
Binary 10111011000111111011100 (23 bits)
Octal 0o27307734
Hexadecimal 0x5D8FDC

Divisor Catalog (48)

1 2 3 4 6 12 31 53 62 93 106 124 159 186 212 311 318 372 622 636 933 1,244 1,643 1,866 3,286 3,732 4,929 6,572 9,641 9,858 16,483 19,282 19,716 28,923 32,966 38,564 49,449 57,846 65,932 98,898 115,692 197,796 510,973 1,021,946 1,532,919 2,043,892 3,065,838 6,131,676

Collatz Trajectory (214 steps to reach 1)

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

6,131,676 3,065,838 1,532,919 4,598,758 2,299,379 6,898,138 3,449,069 10,347,208 5,173,604 2,586,802 1,293,401 3,880,204 1,940,102 970,051 2,910,154 1,455,077 4,365,232 2,182,616 1,091,308 545,654 272,827 818,482 409,241 1,227,724 613,862 306,931 920,794 460,397 1,381,192 690,596 345,298 172,649 517,948 258,974 129,487 388,462 194,231 582,694 291,347 874,042 437,021 1,311,064 655,532 327,766 163,883 491,650 245,825 737,476 368,738 184,369 553,108 276,554 138,277 414,832 207,416 103,708 51,854 25,927 77,782 38,891

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