6,831,138

2 × 3 × 23 × 59 × 839

6,831,138 factors as 2 × 3 × 23 × 59 × 839. Its 32 positive divisors give a proper-divisor sum of 7,684,062, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 59 × 839

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,515,200

Proper Divisor Sum 7,684,062

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6831131 ← → #6831151

Radix Representation

Decimal	6831138
Binary	11010000011110000100010 (23 bits)
Octal	0o32036042
Hexadecimal	0x683C22

Divisor Catalog (32)

1 2 3 6 23 46 59 69 118 138 177 354 839 1,357 1,678 2,517 2,714 4,071 5,034 8,142 19,297 38,594 49,501 57,891 99,002 115,782 148,503 297,006 1,138,523 2,277,046 3,415,569 6,831,138

Collatz Trajectory (103 steps to reach 1)

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

6,831,138 3,415,569 10,246,708 5,123,354 2,561,677 7,685,032 3,842,516 1,921,258 960,629 2,881,888 1,440,944 720,472 360,236 180,118 90,059 270,178 135,089 405,268 202,634 101,317 303,952 151,976 75,988 37,994 18,997 56,992 28,496 14,248 7,124 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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