6,357,762

2 × 3² × 17 × 79 × 263

Starting at 6,357,762, the Collatz iteration reaches 1 after 147 steps. The first transition is 3178881; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 79 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,826,240

Proper Divisor Sum 8,468,478

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6357751 ← → #6357787

Radix Representation

Decimal	6357762
Binary	11000010000001100000010 (23 bits)
Octal	0o30201402
Hexadecimal	0x610302

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 79 102 153 158 237 263 306 474 526 711 789 1,343 1,422 1,578 2,367 2,686 4,029 4,471 4,734 8,058 8,942 12,087 13,413 20,777 24,174 26,826 40,239 41,554 62,331 80,478 124,662 186,993 353,209 373,986 706,418 1,059,627 2,119,254 3,178,881 6,357,762

Collatz Trajectory (147 steps to reach 1)

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

6,357,762 3,178,881 9,536,644 4,768,322 2,384,161 7,152,484 3,576,242 1,788,121 5,364,364 2,682,182 1,341,091 4,023,274 2,011,637 6,034,912 3,017,456 1,508,728 754,364 377,182 188,591 565,774 282,887 848,662 424,331 1,272,994 636,497 1,909,492 954,746 477,373 1,432,120 716,060 358,030 179,015 537,046 268,523 805,570 402,785 1,208,356 604,178 302,089 906,268 453,134 226,567 679,702 339,851 1,019,554 509,777 1,529,332 764,666 382,333 1,147,000 573,500 286,750 143,375 430,126 215,063 645,190 322,595 967,786 483,893 1,451,680

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