6,182,610

2 × 3 × 5 × 7 × 59 × 499

Starting at 6,182,610, the Collatz iteration reaches 1 after 139 steps. The first transition is 3091305; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 59 × 499

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,280,000

Proper Divisor Sum 11,097,390

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6182573 ← → #6182623

Radix Representation

Decimal	6182610
Binary	10111100101011011010010 (23 bits)
Octal	0o27453322
Hexadecimal	0x5E56D2

Divisor Catalog (60 of 64)

Collatz Trajectory (139 steps to reach 1)

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

6,182,610 3,091,305 9,273,916 4,636,958 2,318,479 6,955,438 3,477,719 10,433,158 5,216,579 15,649,738 7,824,869 23,474,608 11,737,304 5,868,652 2,934,326 1,467,163 4,401,490 2,200,745 6,602,236 3,301,118 1,650,559 4,951,678 2,475,839 7,427,518 3,713,759 11,141,278 5,570,639 16,711,918 8,355,959 25,067,878 12,533,939 37,601,818 18,800,909 56,402,728 28,201,364 14,100,682 7,050,341 21,151,024 10,575,512 5,287,756 2,643,878 1,321,939 3,965,818 1,982,909 5,948,728 2,974,364 1,487,182 743,591 2,230,774 1,115,387 3,346,162 1,673,081 5,019,244 2,509,622 1,254,811 3,764,434 1,882,217 5,646,652 2,823,326 1,411,663

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