285,047

7 × 43 × 947

Starting at 285,047, the Collatz iteration reaches 1 after 220 steps. The first transition is 855142; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 43 × 947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 333,696

Proper Divisor Sum 48,649

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #285031 ← → #285049

Radix Representation

Decimal	285047
Binary	1000101100101110111 (19 bits)
Octal	0o1054567
Hexadecimal	0x45977

Divisor Catalog (8)

1 7 43 301 947 6,629 40,721 285,047

Collatz Trajectory (220 steps to reach 1)

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

285,047 855,142 427,571 1,282,714 641,357 1,924,072 962,036 481,018 240,509 721,528 360,764 180,382 90,191 270,574 135,287 405,862 202,931 608,794 304,397 913,192 456,596 228,298 114,149 342,448 171,224 85,612 42,806 21,403 64,210 32,105 96,316 48,158 24,079 72,238 36,119 108,358 54,179 162,538 81,269 243,808 121,904 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853

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