3,008,592

2⁴ × 3² × 17 × 1229

Starting at 3,008,592, the Collatz iteration reaches 1 after 151 steps. The first transition is 1504296; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 17 × 1229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 8,922,420

Proper Divisor Sum 5,913,828

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3008569 ← → #3008617

Radix Representation

Decimal	3008592
Binary	1011011110100001010000 (22 bits)
Octal	0o13364120
Hexadecimal	0x2DE850

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1,224 1,229 2,448 2,458 3,687 4,916 7,374 9,832 11,061 14,748 19,664 20,893 22,122 29,496 41,786 44,244 58,992 62,679 83,572 88,488 125,358 167,144 176,976 188,037 250,716 334,288 376,074 501,432 752,148 1,002,864 1,504,296 3,008,592

Collatz Trajectory (151 steps to reach 1)

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

3,008,592 1,504,296 752,148 376,074 188,037 564,112 282,056 141,028 70,514 35,257 105,772 52,886 26,443 79,330 39,665 118,996 59,498 29,749 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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