774,285

3 × 5 × 41 × 1259

For 774,285, the 16 positive divisors have a total of 1,270,080. Removing 774,285 leaves 495,795, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 1259

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 495,795

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #774283 ← → #774289

Radix Representation

Decimal	774285
Binary	10111101000010001101 (20 bits)
Octal	0o2750215
Hexadecimal	0xBD08D

Divisor Catalog (16)

1 3 5 15 41 123 205 615 1,259 3,777 6,295 18,885 51,619 154,857 258,095 774,285

Collatz Trajectory (74 steps to reach 1)

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

774,285 2,322,856 1,161,428 580,714 290,357 871,072 435,536 217,768 108,884 54,442 27,221 81,664 40,832 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23

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