6,408,309

3 × 47² × 967

6,408,309 factors as 3 × 47^2 × 967. Its 12 positive divisors give a proper-divisor sum of 2,330,795, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3 × 47^2 × 967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,739,104

Proper Divisor Sum 2,330,795

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6408299 ← → #6408313

Radix Representation

Decimal	6408309
Binary	11000011100100001110101 (23 bits)
Octal	0o30344165
Hexadecimal	0x61C875

Divisor Catalog (12)

1 3 47 141 967 2,209 2,901 6,627 45,449 136,347 2,136,103 6,408,309

Collatz Trajectory (103 steps to reach 1)

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

6,408,309 19,224,928 9,612,464 4,806,232 2,403,116 1,201,558 600,779 1,802,338 901,169 2,703,508 1,351,754 675,877 2,027,632 1,013,816 506,908 253,454 126,727 380,182 190,091 570,274 285,137 855,412 427,706 213,853 641,560 320,780 160,390 80,195 240,586 120,293 360,880 180,440 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197 162,592 81,296 40,648

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