6,446,349

3² × 7 × 13 × 17 × 463

6,446,349 has the prime decomposition 3^2 × 7 × 13 × 17 × 463. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 17 × 463

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,160,512

Proper Divisor Sum 5,714,163

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6446347 ← → #6446351

Radix Representation

Decimal	6446349
Binary	11000100101110100001101 (23 bits)
Octal	0o30456415
Hexadecimal	0x625D0D

Divisor Catalog (48)

1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 463 663 819 1,071 1,389 1,547 1,989 3,241 4,167 4,641 6,019 7,871 9,723 13,923 18,057 23,613 29,169 42,133 54,171 55,097 70,839 102,323 126,399 165,291 306,969 379,197 495,873 716,261 920,907 2,148,783 6,446,349

Collatz Trajectory (209 steps to reach 1)

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

6,446,349 19,339,048 9,669,524 4,834,762 2,417,381 7,252,144 3,626,072 1,813,036 906,518 453,259 1,359,778 679,889 2,039,668 1,019,834 509,917 1,529,752 764,876 382,438 191,219 573,658 286,829 860,488 430,244 215,122 107,561 322,684 161,342 80,671 242,014 121,007 363,022 181,511 544,534 272,267 816,802 408,401 1,225,204 612,602 306,301 918,904 459,452 229,726 114,863 344,590 172,295 516,886 258,443 775,330 387,665 1,162,996 581,498 290,749 872,248 436,124 218,062 109,031 327,094 163,547 490,642 245,321

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