6,446,358

2 × 3³ × 19 × 61 × 103

Starting at 6,446,358, the Collatz iteration reaches 1 after 209 steps. The first transition is 3223179; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 19 × 61 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,475,200

Proper Divisor Sum 9,028,842

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6446353 ← → #6446387

Radix Representation

Decimal	6446358
Binary	11000100101110100010110 (23 bits)
Octal	0o30456426
Hexadecimal	0x625D16

Divisor Catalog (60 of 64)

1 2 3 6 9 18 19 27 38 54 57 61 103 114 122 171 183 206 309 342 366 513 549 618 927 1,026 1,098 1,159 1,647 1,854 1,957 2,318 2,781 3,294 3,477 3,914 5,562 5,871 6,283 6,954 10,431 11,742 12,566 17,613 18,849 20,862 31,293 35,226 37,698 52,839 56,547 62,586 105,678 113,094 119,377 169,641 238,754 339,282 358,131 716,262

Collatz Trajectory (209 steps to reach 1)

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

6,446,358 3,223,179 9,669,538 4,834,769 14,504,308 7,252,154 3,626,077 10,878,232 5,439,116 2,719,558 1,359,779 4,079,338 2,039,669 6,119,008 3,059,504 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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