6,135,132

2² × 3 × 511261

Starting at 6,135,132, the Collatz iteration reaches 1 after 196 steps. The first transition is 3067566; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 511261

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,315,336

Proper Divisor Sum 8,180,204

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6135131 ← → #6135133

Radix Representation

Decimal	6135132
Binary	10111011001110101011100 (23 bits)
Octal	0o27316534
Hexadecimal	0x5D9D5C

Divisor Catalog (12)

1 2 3 4 6 12 511,261 1,022,522 1,533,783 2,045,044 3,067,566 6,135,132

Collatz Trajectory (196 steps to reach 1)

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

6,135,132 3,067,566 1,533,783 4,601,350 2,300,675 6,902,026 3,451,013 10,353,040 5,176,520 2,588,260 1,294,130 647,065 1,941,196 970,598 485,299 1,455,898 727,949 2,183,848 1,091,924 545,962 272,981 818,944 409,472 204,736 102,368 51,184 25,592 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488

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