3,465,468

2² × 3² × 96263

Starting at 3,465,468, the Collatz iteration reaches 1 after 159 steps. The first transition is 1732734; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 96263

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,760,024

Proper Divisor Sum 5,294,556

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3465463 ← → #3465481

Radix Representation

Decimal	3465468
Binary	1101001110000011111100 (22 bits)
Octal	0o15160374
Hexadecimal	0x34E0FC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 96,263 192,526 288,789 385,052 577,578 866,367 1,155,156 1,732,734 3,465,468

Collatz Trajectory (159 steps to reach 1)

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

3,465,468 1,732,734 866,367 2,599,102 1,299,551 3,898,654 1,949,327 5,847,982 2,923,991 8,771,974 4,385,987 13,157,962 6,578,981 19,736,944 9,868,472 4,934,236 2,467,118 1,233,559 3,700,678 1,850,339 5,551,018 2,775,509 8,326,528 4,163,264 2,081,632 1,040,816 520,408 260,204 130,102 65,051 195,154 97,577 292,732 146,366 73,183 219,550 109,775 329,326 164,663 493,990 246,995 740,986 370,493 1,111,480 555,740 277,870 138,935 416,806 208,403 625,210 312,605 937,816 468,908 234,454 117,227 351,682 175,841 527,524 263,762 131,881

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