6,444,003

3 × 17 × 29 × 4357

Starting at 6,444,003, the Collatz iteration reaches 1 after 121 steps. The first transition is 19332010; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 29 × 4357

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,413,280

Proper Divisor Sum 2,969,277

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6443999 ← → #6444017

Radix Representation

Decimal	6444003
Binary	11000100101001111100011 (23 bits)
Octal	0o30451743
Hexadecimal	0x6253E3

Divisor Catalog (16)

1 3 17 29 51 87 493 1,479 4,357 13,071 74,069 126,353 222,207 379,059 2,148,001 6,444,003

Collatz Trajectory (121 steps to reach 1)

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

6,444,003 19,332,010 9,666,005 28,998,016 14,499,008 7,249,504 3,624,752 1,812,376 906,188 453,094 226,547 679,642 339,821 1,019,464 509,732 254,866 127,433 382,300 191,150 95,575 286,726 143,363 430,090 215,045 645,136 322,568 161,284 80,642 40,321 120,964 60,482 30,241 90,724 45,362 22,681 68,044 34,022 17,011 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814

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