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6,137,316

22 × 33 × 56827
Abundant Even Composite

6,137,316 factors as 2^2 × 3^3 × 56827. Its 24 positive divisors give a proper-divisor sum of 9,774,524, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 56827
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,911,840
Proper Divisor Sum 9,774,524
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6137309 ← → #6137317

Radix Representation

Decimal 6137316
Binary 10111011010010111100100 (23 bits)
Octal 0o27322744
Hexadecimal 0x5DA5E4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 56,827 113,654 170,481 227,308 340,962 511,443 681,924 1,022,886 1,534,329 2,045,772 3,068,658 6,137,316

Collatz Trajectory (103 steps to reach 1)

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

6,137,316 3,068,658 1,534,329 4,602,988 2,301,494 1,150,747 3,452,242 1,726,121 5,178,364 2,589,182 1,294,591 3,883,774 1,941,887 5,825,662 2,912,831 8,738,494 4,369,247 13,107,742 6,553,871 19,661,614 9,830,807 29,492,422 14,746,211 44,238,634 22,119,317 66,357,952 33,178,976 16,589,488 8,294,744 4,147,372 2,073,686 1,036,843 3,110,530 1,555,265 4,665,796 2,332,898 1,166,449 3,499,348 1,749,674 874,837 2,624,512 1,312,256 656,128 328,064 164,032 82,016 41,008 20,504 10,252 5,126 2,563 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082

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