6,893,490

2 × 3 × 5 × 47 × 4889

Starting at 6,893,490, the Collatz iteration reaches 1 after 147 steps. The first transition is 3446745; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 47 × 4889

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,899,840

Proper Divisor Sum 10,006,350

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6893473 ← → #6893527

Radix Representation

Decimal	6893490
Binary	11010010010111110110010 (23 bits)
Octal	0o32227662
Hexadecimal	0x692FB2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1,410 4,889 9,778 14,667 24,445 29,334 48,890 73,335 146,670 229,783 459,566 689,349 1,148,915 1,378,698 2,297,830 3,446,745 6,893,490

Collatz Trajectory (147 steps to reach 1)

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

6,893,490 3,446,745 10,340,236 5,170,118 2,585,059 7,755,178 3,877,589 11,632,768 5,816,384 2,908,192 1,454,096 727,048 363,524 181,762 90,881 272,644 136,322 68,161 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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