5,126,164

2² × 1281541

Starting at 5,126,164, the Collatz iteration reaches 1 after 100 steps. The first transition is 2563082; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1281541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 8,970,794

Proper Divisor Sum 3,844,630

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #5126153 ← → #5126167

Radix Representation

Decimal	5126164
Binary	10011100011100000010100 (23 bits)
Octal	0o23434024
Hexadecimal	0x4E3814

Divisor Catalog (6)

1 2 4 1,281,541 2,563,082 5,126,164

Collatz Trajectory (100 steps to reach 1)

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

5,126,164 2,563,082 1,281,541 3,844,624 1,922,312 961,156 480,578 240,289 720,868 360,434 180,217 540,652 270,326 135,163 405,490 202,745 608,236 304,118 152,059 456,178 228,089 684,268 342,134 171,067 513,202 256,601 769,804 384,902 192,451 577,354 288,677 866,032 433,016 216,508 108,254 54,127 162,382 81,191 243,574 121,787 365,362 182,681 548,044 274,022 137,011 411,034 205,517 616,552 308,276 154,138 77,069 231,208 115,604 57,802 28,901 86,704 43,352 21,676 10,838 5,419

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