λ
Integer Codex

294,093

32 × 41 × 797
Deficient Odd Composite

For 294,093, the 12 positive divisors have a total of 435,708. Removing 294,093 leaves 141,615, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 41 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 435,708
Proper Divisor Sum 141,615
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #294067 ← → #294103

Radix Representation

Decimal 294093
Binary 1000111110011001101 (19 bits)
Octal 0o1076315
Hexadecimal 0x47CCD

Divisor Catalog (12)

1 3 9 41 123 369 797 2,391 7,173 32,677 98,031 294,093

Collatz Trajectory (65 steps to reach 1)

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

294,093 882,280 441,140 220,570 110,285 330,856 165,428 82,714 41,357 124,072 62,036 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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