306,195

3 × 5 × 137 × 149

Starting at 306,195, the Collatz iteration reaches 1 after 171 steps. The first transition is 918586; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 137 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 496,800

Proper Divisor Sum 190,605

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #306193 ← → #306209

Radix Representation

Decimal	306195
Binary	1001010110000010011 (19 bits)
Octal	0o1126023
Hexadecimal	0x4AC13

Divisor Catalog (16)

1 3 5 15 137 149 411 447 685 745 2,055 2,235 20,413 61,239 102,065 306,195

Collatz Trajectory (171 steps to reach 1)

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

306,195 918,586 459,293 1,377,880 688,940 344,470 172,235 516,706 258,353 775,060 387,530 193,765 581,296 290,648 145,324 72,662 36,331 108,994 54,497 163,492 81,746 40,873 122,620 61,310 30,655 91,966 45,983 137,950 68,975 206,926 103,463 310,390 155,195 465,586 232,793 698,380 349,190 174,595 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654

← Previous Integer #306,194 Browse Full Index Next Integer #306,196 →