6,878,669

7² × 140381

Starting at 6,878,669, the Collatz iteration reaches 1 after 222 steps. The first transition is 20636008; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 140381

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,001,774

Proper Divisor Sum 1,123,105

Digit Sum / Digital Root 50 (Root: 5)

Adjacent Primes #6878657 ← → #6878671

Radix Representation

Decimal	6878669
Binary	11010001111010111001101 (23 bits)
Octal	0o32172715
Hexadecimal	0x68F5CD

Divisor Catalog (6)

1 7 49 140,381 982,667 6,878,669

Collatz Trajectory (222 steps to reach 1)

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

6,878,669 20,636,008 10,318,004 5,159,002 2,579,501 7,738,504 3,869,252 1,934,626 967,313 2,901,940 1,450,970 725,485 2,176,456 1,088,228 544,114 272,057 816,172 408,086 204,043 612,130 306,065 918,196 459,098 229,549 688,648 344,324 172,162 86,081 258,244 129,122 64,561 193,684 96,842 48,421 145,264 72,632 36,316 18,158 9,079 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276

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