6,812,116

2² × 97² × 181

Starting at 6,812,116, the Collatz iteration reaches 1 after 178 steps. The first transition is 3406058; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 97^2 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,111,918

Proper Divisor Sum 5,299,802

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6812077 ← → #6812161

Radix Representation

Decimal	6812116
Binary	11001111111000111010100 (23 bits)
Octal	0o31770724
Hexadecimal	0x67F1D4

Divisor Catalog (18)

1 2 4 97 181 194 362 388 724 9,409 17,557 18,818 35,114 37,636 70,228 1,703,029 3,406,058 6,812,116

Collatz Trajectory (178 steps to reach 1)

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

6,812,116 3,406,058 1,703,029 5,109,088 2,554,544 1,277,272 638,636 319,318 159,659 478,978 239,489 718,468 359,234 179,617 538,852 269,426 134,713 404,140 202,070 101,035 303,106 151,553 454,660 227,330 113,665 340,996 170,498 85,249 255,748 127,874 63,937 191,812 95,906 47,953 143,860 71,930 35,965 107,896 53,948 26,974 13,487 40,462 20,231 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202

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