3,409,184

2⁵ × 106537

Starting at 3,409,184, the Collatz iteration reaches 1 after 221 steps. The first transition is 1704592; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 106537

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,711,894

Proper Divisor Sum 3,302,710

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3409177 ← → #3409187

Radix Representation

Decimal	3409184
Binary	1101000000010100100000 (22 bits)
Octal	0o15002440
Hexadecimal	0x340520

Divisor Catalog (12)

1 2 4 8 16 32 106,537 213,074 426,148 852,296 1,704,592 3,409,184

Collatz Trajectory (221 steps to reach 1)

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

3,409,184 1,704,592 852,296 426,148 213,074 106,537 319,612 159,806 79,903 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385 910,156 455,078 227,539 682,618 341,309 1,023,928 511,964 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760

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