6,277,332

2² × 3 × 409 × 1279

Starting at 6,277,332, the Collatz iteration reaches 1 after 165 steps. The first transition is 3138666; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 409 × 1279

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,694,400

Proper Divisor Sum 8,417,068

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6277319 ← → #6277333

Radix Representation

Decimal	6277332
Binary	10111111100100011010100 (23 bits)
Octal	0o27744324
Hexadecimal	0x5FC8D4

Divisor Catalog (24)

1 2 3 4 6 12 409 818 1,227 1,279 1,636 2,454 2,558 3,837 4,908 5,116 7,674 15,348 523,111 1,046,222 1,569,333 2,092,444 3,138,666 6,277,332

Collatz Trajectory (165 steps to reach 1)

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

6,277,332 3,138,666 1,569,333 4,708,000 2,354,000 1,177,000 588,500 294,250 147,125 441,376 220,688 110,344 55,172 27,586 13,793 41,380 20,690 10,345 31,036 15,518 7,759 23,278 11,639 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188

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