6,435,712

2⁷ × 137 × 367

Starting at 6,435,712, the Collatz iteration reaches 1 after 240 steps. The first transition is 3217856; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 137 × 367

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,949,920

Proper Divisor Sum 6,514,208

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6435697 ← → #6435713

Radix Representation

Decimal	6435712
Binary	11000100011001110000000 (23 bits)
Octal	0o30431600
Hexadecimal	0x623380

Divisor Catalog (32)

1 2 4 8 16 32 64 128 137 274 367 548 734 1,096 1,468 2,192 2,936 4,384 5,872 8,768 11,744 17,536 23,488 46,976 50,279 100,558 201,116 402,232 804,464 1,608,928 3,217,856 6,435,712

Collatz Trajectory (240 steps to reach 1)

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

6,435,712 3,217,856 1,608,928 804,464 402,232 201,116 100,558 50,279 150,838 75,419 226,258 113,129 339,388 169,694 84,847 254,542 127,271 381,814 190,907 572,722 286,361 859,084 429,542 214,771 644,314 322,157 966,472 483,236 241,618 120,809 362,428 181,214 90,607 271,822 135,911 407,734 203,867 611,602 305,801 917,404 458,702 229,351 688,054 344,027 1,032,082 516,041 1,548,124 774,062 387,031 1,161,094 580,547 1,741,642 870,821 2,612,464 1,306,232 653,116 326,558 163,279 489,838 244,919

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