6,189,586

2 × 13 × 29 × 8209

Starting at 6,189,586, the Collatz iteration reaches 1 after 103 steps. The first transition is 3094793; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 29 × 8209

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,344,600

Proper Divisor Sum 4,155,014

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6189577 ← → #6189593

Radix Representation

Decimal	6189586
Binary	10111100111001000010010 (23 bits)
Octal	0o27471022
Hexadecimal	0x5E7212

Divisor Catalog (16)

1 2 13 26 29 58 377 754 8,209 16,418 106,717 213,434 238,061 476,122 3,094,793 6,189,586

Collatz Trajectory (103 steps to reach 1)

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

6,189,586 3,094,793 9,284,380 4,642,190 2,321,095 6,963,286 3,481,643 10,444,930 5,222,465 15,667,396 7,833,698 3,916,849 11,750,548 5,875,274 2,937,637 8,812,912 4,406,456 2,203,228 1,101,614 550,807 1,652,422 826,211 2,478,634 1,239,317 3,717,952 1,858,976 929,488 464,744 232,372 116,186 58,093 174,280 87,140 43,570 21,785 65,356 32,678 16,339 49,018 24,509 73,528 36,764 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544

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