2,408,208

2⁴ × 3 × 11 × 4561

Starting at 2,408,208, the Collatz iteration reaches 1 after 68 steps. The first transition is 1204104; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 4561

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,788,256

Proper Divisor Sum 4,380,048

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2408201 ← → #2408213

Radix Representation

Decimal	2408208
Binary	1001001011111100010000 (22 bits)
Octal	0o11137420
Hexadecimal	0x24BF10

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4,561 9,122 13,683 18,244 27,366 36,488 50,171 54,732 72,976 100,342 109,464 150,513 200,684 218,928 301,026 401,368 602,052 802,736 1,204,104 2,408,208

Collatz Trajectory (68 steps to reach 1)

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

2,408,208 1,204,104 602,052 301,026 150,513 451,540 225,770 112,885 338,656 169,328 84,664 42,332 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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