374,775

3 × 5² × 19 × 263

374,775 has the prime decomposition 3 × 5^2 × 19 × 263. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 19 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 654,720

Proper Divisor Sum 279,945

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #374771 ← → #374783

Radix Representation

Decimal	374775
Binary	1011011011111110111 (19 bits)
Octal	0o1333767
Hexadecimal	0x5B7F7

Divisor Catalog (24)

1 3 5 15 19 25 57 75 95 263 285 475 789 1,315 1,425 3,945 4,997 6,575 14,991 19,725 24,985 74,955 124,925 374,775

Collatz Trajectory (254 steps to reach 1)

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

374,775 1,124,326 562,163 1,686,490 843,245 2,529,736 1,264,868 632,434 316,217 948,652 474,326 237,163 711,490 355,745 1,067,236 533,618 266,809 800,428 400,214 200,107 600,322 300,161 900,484 450,242 225,121 675,364 337,682 168,841 506,524 253,262 126,631 379,894 189,947 569,842 284,921 854,764 427,382 213,691 641,074 320,537 961,612 480,806 240,403 721,210 360,605 1,081,816 540,908 270,454 135,227 405,682 202,841 608,524 304,262 152,131 456,394 228,197 684,592 342,296 171,148 85,574

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