6,308,309

7² × 17 × 7573

Starting at 6,308,309, the Collatz iteration reaches 1 after 103 steps. The first transition is 18924928; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 17 × 7573

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,770,924

Proper Divisor Sum 1,462,615

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6308297 ← → #6308311

Radix Representation

Decimal	6308309
Binary	11000000100000111010101 (23 bits)
Octal	0o30040725
Hexadecimal	0x6041D5

Divisor Catalog (12)

1 7 17 49 119 833 7,573 53,011 128,741 371,077 901,187 6,308,309

Collatz Trajectory (103 steps to reach 1)

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

6,308,309 18,924,928 9,462,464 4,731,232 2,365,616 1,182,808 591,404 295,702 147,851 443,554 221,777 665,332 332,666 166,333 499,000 249,500 124,750 62,375 187,126 93,563 280,690 140,345 421,036 210,518 105,259 315,778 157,889 473,668 236,834 118,417 355,252 177,626 88,813 266,440 133,220 66,610 33,305 99,916 49,958 24,979 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114

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