3,806,173

7² × 173 × 449

Starting at 3,806,173, the Collatz iteration reaches 1 after 128 steps. The first transition is 11418520; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 173 × 449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,463,100

Proper Divisor Sum 656,927

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3806167 ← → #3806177

Radix Representation

Decimal	3806173
Binary	1110100001001111011101 (22 bits)
Octal	0o16411735
Hexadecimal	0x3A13DD

Divisor Catalog (12)

1 7 49 173 449 1,211 3,143 8,477 22,001 77,677 543,739 3,806,173

Collatz Trajectory (128 steps to reach 1)

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

3,806,173 11,418,520 5,709,260 2,854,630 1,427,315 4,281,946 2,140,973 6,422,920 3,211,460 1,605,730 802,865 2,408,596 1,204,298 602,149 1,806,448 903,224 451,612 225,806 112,903 338,710 169,355 508,066 254,033 762,100 381,050 190,525 571,576 285,788 142,894 71,447 214,342 107,171 321,514 160,757 482,272 241,136 120,568 60,284 30,142 15,071 45,214 22,607 67,822 33,911 101,734 50,867 152,602 76,301 228,904 114,452 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024

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