3,989,349

3² × 7 × 13 × 4871

Starting at 3,989,349, the Collatz iteration reaches 1 after 79 steps. The first transition is 11968048; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 4871

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,093,632

Proper Divisor Sum 3,104,283

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3989333 ← → #3989351

Radix Representation

Decimal	3989349
Binary	1111001101111101100101 (22 bits)
Octal	0o17157545
Hexadecimal	0x3CDF65

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 4,871 14,613 34,097 43,839 63,323 102,291 189,969 306,873 443,261 569,907 1,329,783 3,989,349

Collatz Trajectory (79 steps to reach 1)

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

3,989,349 11,968,048 5,984,024 2,992,012 1,496,006 748,003 2,244,010 1,122,005 3,366,016 1,683,008 841,504 420,752 210,376 105,188 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

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