3,349,159

11² × 89 × 311

Starting at 3,349,159, the Collatz iteration reaches 1 after 208 steps. The first transition is 10047478; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 89 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,734,640

Proper Divisor Sum 385,481

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3349139 ← → #3349163

Radix Representation

Decimal	3349159
Binary	1100110001101010100111 (22 bits)
Octal	0o14615247
Hexadecimal	0x331AA7

Divisor Catalog (12)

1 11 89 121 311 979 3,421 10,769 27,679 37,631 304,469 3,349,159

Collatz Trajectory (208 steps to reach 1)

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

3,349,159 10,047,478 5,023,739 15,071,218 7,535,609 22,606,828 11,303,414 5,651,707 16,955,122 8,477,561 25,432,684 12,716,342 6,358,171 19,074,514 9,537,257 28,611,772 14,305,886 7,152,943 21,458,830 10,729,415 32,188,246 16,094,123 48,282,370 24,141,185 72,423,556 36,211,778 18,105,889 54,317,668 27,158,834 13,579,417 40,738,252 20,369,126 10,184,563 30,553,690 15,276,845 45,830,536 22,915,268 11,457,634 5,728,817 17,186,452 8,593,226 4,296,613 12,889,840 6,444,920 3,222,460 1,611,230 805,615 2,416,846 1,208,423 3,625,270 1,812,635 5,437,906 2,718,953 8,156,860 4,078,430 2,039,215 6,117,646 3,058,823 9,176,470 4,588,235

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