2,833,164

2² × 3³ × 37 × 709

Starting at 2,833,164, the Collatz iteration reaches 1 after 107 steps. The first transition is 1416582; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,554,400

Proper Divisor Sum 4,721,236

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2833157 ← → #2833189

Radix Representation

Decimal	2833164
Binary	1010110011101100001100 (22 bits)
Octal	0o12635414
Hexadecimal	0x2B3B0C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 709 999 1,332 1,418 1,998 2,127 2,836 3,996 4,254 6,381 8,508 12,762 19,143 25,524 26,233 38,286 52,466 76,572 78,699 104,932 157,398 236,097 314,796 472,194 708,291 944,388 1,416,582 2,833,164

Collatz Trajectory (107 steps to reach 1)

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

2,833,164 1,416,582 708,291 2,124,874 1,062,437 3,187,312 1,593,656 796,828 398,414 199,207 597,622 298,811 896,434 448,217 1,344,652 672,326 336,163 1,008,490 504,245 1,512,736 756,368 378,184 189,092 94,546 47,273 141,820 70,910 35,455 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995

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