3,477,654

2 × 3⁴ × 21467

Starting at 3,477,654, the Collatz iteration reaches 1 after 45 steps. The first transition is 1738827; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 21467

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,792,884

Proper Divisor Sum 4,315,230

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3477653 ← → #3477679

Radix Representation

Decimal	3477654
Binary	1101010001000010010110 (22 bits)
Octal	0o15210226
Hexadecimal	0x351096

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 21,467 42,934 64,401 128,802 193,203 386,406 579,609 1,159,218 1,738,827 3,477,654

Collatz Trajectory (45 steps to reach 1)

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

3,477,654 1,738,827 5,216,482 2,608,241 7,824,724 3,912,362 1,956,181 5,868,544 2,934,272 1,467,136 733,568 366,784 183,392 91,696 45,848 22,924 11,462 5,731 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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