2,163,864

2³ × 3 × 29 × 3109

Starting at 2,163,864, the Collatz iteration reaches 1 after 179 steps. The first transition is 1081932; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 29 × 3109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,598,000

Proper Divisor Sum 3,434,136

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2163859 ← → #2163869

Radix Representation

Decimal	2163864
Binary	1000010000010010011000 (22 bits)
Octal	0o10202230
Hexadecimal	0x210498

Divisor Catalog (32)

1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 3,109 6,218 9,327 12,436 18,654 24,872 37,308 74,616 90,161 180,322 270,483 360,644 540,966 721,288 1,081,932 2,163,864

Collatz Trajectory (179 steps to reach 1)

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

2,163,864 1,081,932 540,966 270,483 811,450 405,725 1,217,176 608,588 304,294 152,147 456,442 228,221 684,664 342,332 171,166 85,583 256,750 128,375 385,126 192,563 577,690 288,845 866,536 433,268 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726

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