3,409,248

2⁵ × 3 × 17 × 2089

Starting at 3,409,248, the Collatz iteration reaches 1 after 177 steps. The first transition is 1704624; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 2089

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,480,240

Proper Divisor Sum 6,070,992

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3409247 ← → #3409249

Radix Representation

Decimal	3409248
Binary	1101000000010101100000 (22 bits)
Octal	0o15002540
Hexadecimal	0x340560

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1,632 2,089 4,178 6,267 8,356 12,534 16,712 25,068 33,424 35,513 50,136 66,848 71,026 100,272 106,539 142,052 200,544 213,078 284,104 426,156 568,208 852,312 1,136,416 1,704,624 3,409,248

Collatz Trajectory (177 steps to reach 1)

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

3,409,248 1,704,624 852,312 426,156 213,078 106,539 319,618 159,809 479,428 239,714 119,857 359,572 179,786 89,893 269,680 134,840 67,420 33,710 16,855 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634

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