3,440,165

5 × 47 × 14639

Starting at 3,440,165, the Collatz iteration reaches 1 after 221 steps. The first transition is 10320496; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 47 × 14639

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,216,320

Proper Divisor Sum 776,155

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3440153 ← → #3440167

Radix Representation

Decimal	3440165
Binary	1101000111111000100101 (22 bits)
Octal	0o15077045
Hexadecimal	0x347E25

Divisor Catalog (8)

1 5 47 235 14,639 73,195 688,033 3,440,165

Collatz Trajectory (221 steps to reach 1)

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

3,440,165 10,320,496 5,160,248 2,580,124 1,290,062 645,031 1,935,094 967,547 2,902,642 1,451,321 4,353,964 2,176,982 1,088,491 3,265,474 1,632,737 4,898,212 2,449,106 1,224,553 3,673,660 1,836,830 918,415 2,755,246 1,377,623 4,132,870 2,066,435 6,199,306 3,099,653 9,298,960 4,649,480 2,324,740 1,162,370 581,185 1,743,556 871,778 435,889 1,307,668 653,834 326,917 980,752 490,376 245,188 122,594 61,297 183,892 91,946 45,973 137,920 68,960 34,480 17,240 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638

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