6,356,008

2³ × 37 × 109 × 197

Starting at 6,356,008, the Collatz iteration reaches 1 after 302 steps. The first transition is 3178004; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 37 × 109 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,414,600

Proper Divisor Sum 6,058,592

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6356003 ← → #6356033

Radix Representation

Decimal	6356008
Binary	11000001111110000101000 (23 bits)
Octal	0o30176050
Hexadecimal	0x60FC28

Divisor Catalog (32)

1 2 4 8 37 74 109 148 197 218 296 394 436 788 872 1,576 4,033 7,289 8,066 14,578 16,132 21,473 29,156 32,264 42,946 58,312 85,892 171,784 794,501 1,589,002 3,178,004 6,356,008

Collatz Trajectory (302 steps to reach 1)

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

6,356,008 3,178,004 1,589,002 794,501 2,383,504 1,191,752 595,876 297,938 148,969 446,908 223,454 111,727 335,182 167,591 502,774 251,387 754,162 377,081 1,131,244 565,622 282,811 848,434 424,217 1,272,652 636,326 318,163 954,490 477,245 1,431,736 715,868 357,934 178,967 536,902 268,451 805,354 402,677 1,208,032 604,016 302,008 151,004 75,502 37,751 113,254 56,627 169,882 84,941 254,824 127,412 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318

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