6,111,512

2³ × 11 × 37 × 1877

Starting at 6,111,512, the Collatz iteration reaches 1 after 108 steps. The first transition is 3055756; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 37 × 1877

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,845,520

Proper Divisor Sum 6,734,008

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #6111509 ← → #6111527

Radix Representation

Decimal	6111512
Binary	10111010100000100011000 (23 bits)
Octal	0o27240430
Hexadecimal	0x5D4118

Divisor Catalog (32)

1 2 4 8 11 22 37 44 74 88 148 296 407 814 1,628 1,877 3,256 3,754 7,508 15,016 20,647 41,294 69,449 82,588 138,898 165,176 277,796 555,592 763,939 1,527,878 3,055,756 6,111,512

Collatz Trajectory (108 steps to reach 1)

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

6,111,512 3,055,756 1,527,878 763,939 2,291,818 1,145,909 3,437,728 1,718,864 859,432 429,716 214,858 107,429 322,288 161,144 80,572 40,286 20,143 60,430 30,215 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484 38,242 19,121 57,364 28,682 14,341 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470

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