6,245,226

2 × 3² × 13² × 2053

Starting at 6,245,226, the Collatz iteration reaches 1 after 134 steps. The first transition is 3122613; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13^2 × 2053

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,659,398

Proper Divisor Sum 8,414,172

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6245203 ← → #6245249

Radix Representation

Decimal	6245226
Binary	10111110100101101101010 (23 bits)
Octal	0o27645552
Hexadecimal	0x5F4B6A

Divisor Catalog (36)

1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1,014 1,521 2,053 3,042 4,106 6,159 12,318 18,477 26,689 36,954 53,378 80,067 160,134 240,201 346,957 480,402 693,914 1,040,871 2,081,742 3,122,613 6,245,226

Collatz Trajectory (134 steps to reach 1)

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

6,245,226 3,122,613 9,367,840 4,683,920 2,341,960 1,170,980 585,490 292,745 878,236 439,118 219,559 658,678 329,339 988,018 494,009 1,482,028 741,014 370,507 1,111,522 555,761 1,667,284 833,642 416,821 1,250,464 625,232 312,616 156,308 78,154 39,077 117,232 58,616 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617

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