6,300,117

3² × 379 × 1847

Starting at 6,300,117, the Collatz iteration reaches 1 after 126 steps. The first transition is 18900352; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 379 × 1847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,129,120

Proper Divisor Sum 2,829,003

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6300109 ← → #6300121

Radix Representation

Decimal	6300117
Binary	11000000010000111010101 (23 bits)
Octal	0o30020725
Hexadecimal	0x6021D5

Divisor Catalog (12)

1 3 9 379 1,137 1,847 3,411 5,541 16,623 700,013 2,100,039 6,300,117

Collatz Trajectory (126 steps to reach 1)

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

6,300,117 18,900,352 9,450,176 4,725,088 2,362,544 1,181,272 590,636 295,318 147,659 442,978 221,489 664,468 332,234 166,117 498,352 249,176 124,588 62,294 31,147 93,442 46,721 140,164 70,082 35,041 105,124 52,562 26,281 78,844 39,422 19,711 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773

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