6,499,306

2 × 11 × 29 × 61 × 167

Starting at 6,499,306, the Collatz iteration reaches 1 after 209 steps. The first transition is 3249653; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 61 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,249,280

Proper Divisor Sum 4,749,974

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #6499289 ← → #6499307

Radix Representation

Decimal	6499306
Binary	11000110010101111101010 (23 bits)
Octal	0o30625752
Hexadecimal	0x632BEA

Divisor Catalog (32)

1 2 11 22 29 58 61 122 167 319 334 638 671 1,342 1,769 1,837 3,538 3,674 4,843 9,686 10,187 19,459 20,374 38,918 53,273 106,546 112,057 224,114 295,423 590,846 3,249,653 6,499,306

Collatz Trajectory (209 steps to reach 1)

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

6,499,306 3,249,653 9,748,960 4,874,480 2,437,240 1,218,620 609,310 304,655 913,966 456,983 1,370,950 685,475 2,056,426 1,028,213 3,084,640 1,542,320 771,160 385,580 192,790 96,395 289,186 144,593 433,780 216,890 108,445 325,336 162,668 81,334 40,667 122,002 61,001 183,004 91,502 45,751 137,254 68,627 205,882 102,941 308,824 154,412 77,206 38,603 115,810 57,905 173,716 86,858 43,429 130,288 65,144 32,572 16,286 8,143 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228

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