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6,131,592

23 × 33 × 28387
Abundant Even Composite

6,131,592 factors as 2^3 × 3^3 × 28387. Its 32 positive divisors give a proper-divisor sum of 10,901,208, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 28387
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,032,800
Proper Divisor Sum 10,901,208
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6131561 ← → #6131597

Radix Representation

Decimal 6131592
Binary 10111011000111110001000 (23 bits)
Octal 0o27307610
Hexadecimal 0x5D8F88

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 28,387 56,774 85,161 113,548 170,322 227,096 255,483 340,644 510,966 681,288 766,449 1,021,932 1,532,898 2,043,864 3,065,796 6,131,592

Collatz Trajectory (59 steps to reach 1)

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

6,131,592 3,065,796 1,532,898 766,449 2,299,348 1,149,674 574,837 1,724,512 862,256 431,128 215,564 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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