6,679,209

3 × 2226403

Starting at 6,679,209, the Collatz iteration reaches 1 after 253 steps. The first transition is 20037628; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2226403

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,905,616

Proper Divisor Sum 2,226,407

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6679199 ← → #6679237

Radix Representation

Decimal	6679209
Binary	11001011110101010101001 (23 bits)
Octal	0o31365251
Hexadecimal	0x65EAA9

Divisor Catalog (4)

1 3 2,226,403 6,679,209

Collatz Trajectory (253 steps to reach 1)

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

6,679,209 20,037,628 10,018,814 5,009,407 15,028,222 7,514,111 22,542,334 11,271,167 33,813,502 16,906,751 50,720,254 25,360,127 76,080,382 38,040,191 114,120,574 57,060,287 171,180,862 85,590,431 256,771,294 128,385,647 385,156,942 192,578,471 577,735,414 288,867,707 866,603,122 433,301,561 1,299,904,684 649,952,342 324,976,171 974,928,514 487,464,257 1,462,392,772 731,196,386 365,598,193 1,096,794,580 548,397,290 274,198,645 822,595,936 411,297,968 205,648,984 102,824,492 51,412,246 25,706,123 77,118,370 38,559,185 115,677,556 57,838,778 28,919,389 86,758,168 43,379,084 21,689,542 10,844,771 32,534,314 16,267,157 48,801,472 24,400,736 12,200,368 6,100,184 3,050,092 1,525,046

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