6,813,627

3 × 53 × 42853

6,813,627 factors as 3 × 53 × 42853. Its 8 positive divisors give a proper-divisor sum of 2,442,837, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 3 × 53 × 42853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,256,464

Proper Divisor Sum 2,442,837

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6813613 ← → #6813629

Radix Representation

Decimal	6813627
Binary	11001111111011110111011 (23 bits)
Octal	0o31773673
Hexadecimal	0x67F7BB

Divisor Catalog (8)

1 3 53 159 42,853 128,559 2,271,209 6,813,627

Collatz Trajectory (222 steps to reach 1)

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

6,813,627 20,440,882 10,220,441 30,661,324 15,330,662 7,665,331 22,995,994 11,497,997 34,493,992 17,246,996 8,623,498 4,311,749 12,935,248 6,467,624 3,233,812 1,616,906 808,453 2,425,360 1,212,680 606,340 303,170 151,585 454,756 227,378 113,689 341,068 170,534 85,267 255,802 127,901 383,704 191,852 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204

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