3,085,368

2³ × 3 × 11 × 13 × 29 × 31

3,085,368 factors as 2^3 × 3 × 11 × 13 × 29 × 31. Its 128 positive divisors give a proper-divisor sum of 6,591,432, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13 × 29 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 9,676,800

Proper Divisor Sum 6,591,432

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3085367 ← → #3085403

Radix Representation

Decimal	3085368
Binary	1011110001010000111000 (22 bits)
Octal	0o13612070
Hexadecimal	0x2F1438

Divisor Catalog (60 of 128)

1 2 3 4 6 8 11 12 13 22 24 26 29 31 33 39 44 52 58 62 66 78 87 88 93 104 116 124 132 143 156 174 186 232 248 264 286 312 319 341 348 372 377 403 429 572 638 682 696 744 754 806 858 899 957 1,023 1,131 1,144 1,209 1,276

Collatz Trajectory (102 steps to reach 1)

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

3,085,368 1,542,684 771,342 385,671 1,157,014 578,507 1,735,522 867,761 2,603,284 1,301,642 650,821 1,952,464 976,232 488,116 244,058 122,029 366,088 183,044 91,522 45,761 137,284 68,642 34,321 102,964 51,482 25,741 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545

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