6,873,006

2 × 3 × 7 × 163643

6,873,006 factors as 2 × 3 × 7 × 163643. Its 16 positive divisors give a proper-divisor sum of 8,836,818, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 163643

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,709,824

Proper Divisor Sum 8,836,818

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6873001 ← → #6873007

Radix Representation

Decimal	6873006
Binary	11010001101111110101110 (23 bits)
Octal	0o32157656
Hexadecimal	0x68DFAE

Divisor Catalog (16)

1 2 3 6 7 14 21 42 163,643 327,286 490,929 981,858 1,145,501 2,291,002 3,436,503 6,873,006

Collatz Trajectory (222 steps to reach 1)

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

6,873,006 3,436,503 10,309,510 5,154,755 15,464,266 7,732,133 23,196,400 11,598,200 5,799,100 2,899,550 1,449,775 4,349,326 2,174,663 6,523,990 3,261,995 9,785,986 4,892,993 14,678,980 7,339,490 3,669,745 11,009,236 5,504,618 2,752,309 8,256,928 4,128,464 2,064,232 1,032,116 516,058 258,029 774,088 387,044 193,522 96,761 290,284 145,142 72,571 217,714 108,857 326,572 163,286 81,643 244,930 122,465 367,396 183,698 91,849 275,548 137,774 68,887 206,662 103,331 309,994 154,997 464,992 232,496 116,248 58,124 29,062 14,531 43,594

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