7,336,254

2 × 3 × 223 × 5483

Starting at 7,336,254, the Collatz iteration reaches 1 after 310 steps. The first transition is 3668127; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 223 × 5483

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,740,992

Proper Divisor Sum 7,404,738

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7336169 ← → #7336267

Radix Representation

Decimal	7336254
Binary	11011111111000100111110 (23 bits)
Octal	0o33770476
Hexadecimal	0x6FF13E

Divisor Catalog (16)

1 2 3 6 223 446 669 1,338 5,483 10,966 16,449 32,898 1,222,709 2,445,418 3,668,127 7,336,254

Collatz Trajectory (310 steps to reach 1)

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

7,336,254 3,668,127 11,004,382 5,502,191 16,506,574 8,253,287 24,759,862 12,379,931 37,139,794 18,569,897 55,709,692 27,854,846 13,927,423 41,782,270 20,891,135 62,673,406 31,336,703 94,010,110 47,005,055 141,015,166 70,507,583 211,522,750 105,761,375 317,284,126 158,642,063 475,926,190 237,963,095 713,889,286 356,944,643 1,070,833,930 535,416,965 1,606,250,896 803,125,448 401,562,724 200,781,362 100,390,681 301,172,044 150,586,022 75,293,011 225,879,034 112,939,517 338,818,552 169,409,276 84,704,638 42,352,319 127,056,958 63,528,479 190,585,438 95,292,719 285,878,158 142,939,079 428,817,238 214,408,619 643,225,858 321,612,929 964,838,788 482,419,394 241,209,697 723,629,092 361,814,546

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