8,323,047

3³ × 17 × 18133

Starting at 8,323,047, the Collatz iteration reaches 1 after 305 steps. The first transition is 24969142; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 17 × 18133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,056,480

Proper Divisor Sum 4,733,433

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8323043 ← → #8323069

Radix Representation

Decimal	8323047
Binary	11111101111111111100111 (23 bits)
Octal	0o37577747
Hexadecimal	0x7EFFE7

Divisor Catalog (16)

1 3 9 17 27 51 153 459 18,133 54,399 163,197 308,261 489,591 924,783 2,774,349 8,323,047

Collatz Trajectory (305 steps to reach 1)

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

8,323,047 24,969,142 12,484,571 37,453,714 18,726,857 56,180,572 28,090,286 14,045,143 42,135,430 21,067,715 63,203,146 31,601,573 94,804,720 47,402,360 23,701,180 11,850,590 5,925,295 17,775,886 8,887,943 26,663,830 13,331,915 39,995,746 19,997,873 59,993,620 29,996,810 14,998,405 44,995,216 22,497,608 11,248,804 5,624,402 2,812,201 8,436,604 4,218,302 2,109,151 6,327,454 3,163,727 9,491,182 4,745,591 14,236,774 7,118,387 21,355,162 10,677,581 32,032,744 16,016,372 8,008,186 4,004,093 12,012,280 6,006,140 3,003,070 1,501,535 4,504,606 2,252,303 6,756,910 3,378,455 10,135,366 5,067,683 15,203,050 7,601,525 22,804,576 11,402,288

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