λ
Sequence Observatory

285,147

33 × 59 × 179
Deficient Odd Composite

Starting at 285,147, the Collatz iteration reaches 1 after 83 steps. The first transition is 855442; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 59 × 179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 432,000
Proper Divisor Sum 146,853
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #285139 ← → #285151

Radix Representation

Decimal 285147
Binary 1000101100111011011 (19 bits)
Octal 0o1054733
Hexadecimal 0x459DB

Divisor Catalog (16)

1 3 9 27 59 177 179 531 537 1,593 1,611 4,833 10,561 31,683 95,049 285,147

Collatz Trajectory (83 steps to reach 1)

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

285,147 855,442 427,721 1,283,164 641,582 320,791 962,374 481,187 1,443,562 721,781 2,165,344 1,082,672 541,336 270,668 135,334 67,667 203,002 101,501 304,504 152,252 76,126 38,063 114,190 57,095 171,286 85,643 256,930 128,465 385,396 192,698 96,349 289,048 144,524 72,262 36,131 108,394 54,197 162,592 81,296 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304

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