6,134,686

2 × 827 × 3709

Starting at 6,134,686, the Collatz iteration reaches 1 after 214 steps. The first transition is 3067343; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 827 × 3709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,215,640

Proper Divisor Sum 3,080,954

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6134659 ← → #6134699

Radix Representation

Decimal	6134686
Binary	10111011001101110011110 (23 bits)
Octal	0o27315636
Hexadecimal	0x5D9B9E

Divisor Catalog (8)

1 2 827 1,654 3,709 7,418 3,067,343 6,134,686

Collatz Trajectory (214 steps to reach 1)

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

6,134,686 3,067,343 9,202,030 4,601,015 13,803,046 6,901,523 20,704,570 10,352,285 31,056,856 15,528,428 7,764,214 3,882,107 11,646,322 5,823,161 17,469,484 8,734,742 4,367,371 13,102,114 6,551,057 19,653,172 9,826,586 4,913,293 14,739,880 7,369,940 3,684,970 1,842,485 5,527,456 2,763,728 1,381,864 690,932 345,466 172,733 518,200 259,100 129,550 64,775 194,326 97,163 291,490 145,745 437,236 218,618 109,309 327,928 163,964 81,982 40,991 122,974 61,487 184,462 92,231 276,694 138,347 415,042 207,521 622,564 311,282 155,641 466,924 233,462

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