λ
Sequence Observatory

6,002,102

2 × 349 × 8599
Deficient Even Composite

Starting at 6,002,102, the Collatz iteration reaches 1 after 214 steps. The first transition is 3001051; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 349 × 8599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,030,000
Proper Divisor Sum 3,027,898
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #6002093 ← → #6002111

Radix Representation

Decimal 6002102
Binary 10110111001010110110110 (23 bits)
Octal 0o26712666
Hexadecimal 0x5B95B6

Divisor Catalog (8)

1 2 349 698 8,599 17,198 3,001,051 6,002,102

Collatz Trajectory (214 steps to reach 1)

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

6,002,102 3,001,051 9,003,154 4,501,577 13,504,732 6,752,366 3,376,183 10,128,550 5,064,275 15,192,826 7,596,413 22,789,240 11,394,620 5,697,310 2,848,655 8,545,966 4,272,983 12,818,950 6,409,475 19,228,426 9,614,213 28,842,640 14,421,320 7,210,660 3,605,330 1,802,665 5,407,996 2,703,998 1,351,999 4,055,998 2,027,999 6,083,998 3,041,999 9,125,998 4,562,999 13,688,998 6,844,499 20,533,498 10,266,749 30,800,248 15,400,124 7,700,062 3,850,031 11,550,094 5,775,047 17,325,142 8,662,571 25,987,714 12,993,857 38,981,572 19,490,786 9,745,393 29,236,180 14,618,090 7,309,045 21,927,136 10,963,568 5,481,784 2,740,892 1,370,446

More profiles

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