6,475,586

2 × 13 × 263 × 947

Starting at 6,475,586, the Collatz iteration reaches 1 after 103 steps. The first transition is 3237793; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 263 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,511,424

Proper Divisor Sum 4,035,838

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6475583 ← → #6475597

Radix Representation

Decimal	6475586
Binary	11000101100111101000010 (23 bits)
Octal	0o30547502
Hexadecimal	0x62CF42

Divisor Catalog (16)

1 2 13 26 263 526 947 1,894 3,419 6,838 12,311 24,622 249,061 498,122 3,237,793 6,475,586

Collatz Trajectory (103 steps to reach 1)

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

6,475,586 3,237,793 9,713,380 4,856,690 2,428,345 7,285,036 3,642,518 1,821,259 5,463,778 2,731,889 8,195,668 4,097,834 2,048,917 6,146,752 3,073,376 1,536,688 768,344 384,172 192,086 96,043 288,130 144,065 432,196 216,098 108,049 324,148 162,074 81,037 243,112 121,556 60,778 30,389 91,168 45,584 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191

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