6,078,411

3² × 53 × 12743

Starting at 6,078,411, the Collatz iteration reaches 1 after 227 steps. The first transition is 18235234; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53 × 12743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,946,288

Proper Divisor Sum 2,867,877

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6078409 ← → #6078419

Radix Representation

Decimal	6078411
Binary	10111001011111111001011 (23 bits)
Octal	0o27137713
Hexadecimal	0x5CBFCB

Divisor Catalog (12)

1 3 9 53 159 477 12,743 38,229 114,687 675,379 2,026,137 6,078,411

Collatz Trajectory (227 steps to reach 1)

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

6,078,411 18,235,234 9,117,617 27,352,852 13,676,426 6,838,213 20,514,640 10,257,320 5,128,660 2,564,330 1,282,165 3,846,496 1,923,248 961,624 480,812 240,406 120,203 360,610 180,305 540,916 270,458 135,229 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304 171,152 85,576 42,788 21,394 10,697 32,092 16,046 8,023 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430

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