λ
Integer Codex

492,085

5 × 11 × 23 × 389
Deficient Odd Composite

For 492,085, the 16 positive divisors have a total of 673,920. Removing 492,085 leaves 181,835, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 11 × 23 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 673,920
Proper Divisor Sum 181,835
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #492083 ← → #492103

Radix Representation

Decimal 492085
Binary 1111000001000110101 (19 bits)
Octal 0o1701065
Hexadecimal 0x78235

Divisor Catalog (16)

1 5 11 23 55 115 253 389 1,265 1,945 4,279 8,947 21,395 44,735 98,417 492,085

Collatz Trajectory (151 steps to reach 1)

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

492,085 1,476,256 738,128 369,064 184,532 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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