6,412,208

2⁴ × 11 × 36433

Starting at 6,412,208, the Collatz iteration reaches 1 after 134 steps. The first transition is 3206104; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 36433

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,553,448

Proper Divisor Sum 7,141,240

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #6412207 ← → #6412249

Radix Representation

Decimal	6412208
Binary	11000011101011110110000 (23 bits)
Octal	0o30353660
Hexadecimal	0x61D7B0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 36,433 72,866 145,732 291,464 400,763 582,928 801,526 1,603,052 3,206,104 6,412,208

Collatz Trajectory (134 steps to reach 1)

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

6,412,208 3,206,104 1,603,052 801,526 400,763 1,202,290 601,145 1,803,436 901,718 450,859 1,352,578 676,289 2,028,868 1,014,434 507,217 1,521,652 760,826 380,413 1,141,240 570,620 285,310 142,655 427,966 213,983 641,950 320,975 962,926 481,463 1,444,390 722,195 2,166,586 1,083,293 3,249,880 1,624,940 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106

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