6,138,342

2 × 3⁴ × 7 × 5413

6,138,342 has digital root 9. The neighboring primes are 6138331 and 6138347; its proper-divisor sum differs from the starting integer by 3,445,572.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 5413

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 15,722,256

Proper Divisor Sum 9,583,914

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6138331 ← → #6138347

Radix Representation

Decimal	6138342
Binary	10111011010100111100110 (23 bits)
Octal	0o27324746
Hexadecimal	0x5DA9E6

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 5,413 10,826 16,239 32,478 37,891 48,717 75,782 97,434 113,673 146,151 227,346 292,302 341,019 438,453 682,038 876,906 1,023,057 2,046,114 3,069,171 6,138,342

Collatz Trajectory (108 steps to reach 1)

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

6,138,342 3,069,171 9,207,514 4,603,757 13,811,272 6,905,636 3,452,818 1,726,409 5,179,228 2,589,614 1,294,807 3,884,422 1,942,211 5,826,634 2,913,317 8,739,952 4,369,976 2,184,988 1,092,494 546,247 1,638,742 819,371 2,458,114 1,229,057 3,687,172 1,843,586 921,793 2,765,380 1,382,690 691,345 2,074,036 1,037,018 518,509 1,555,528 777,764 388,882 194,441 583,324 291,662 145,831 437,494 218,747 656,242 328,121 984,364 492,182 246,091 738,274 369,137 1,107,412 553,706 276,853 830,560 415,280 207,640 103,820 51,910 25,955 77,866 38,933

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