840,338

2 × 89 × 4721

840,338 factors as 2 × 89 × 4721. Its 8 positive divisors give a proper-divisor sum of 434,602, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 89 × 4721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,274,940

Proper Divisor Sum 434,602

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #840331 ← → #840341

Radix Representation

Decimal	840338
Binary	11001101001010010010 (20 bits)
Octal	0o3151222
Hexadecimal	0xCD292

Divisor Catalog (8)

1 2 89 178 4,721 9,442 420,169 840,338

Collatz Trajectory (113 steps to reach 1)

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

840,338 420,169 1,260,508 630,254 315,127 945,382 472,691 1,418,074 709,037 2,127,112 1,063,556 531,778 265,889 797,668 398,834 199,417 598,252 299,126 149,563 448,690 224,345 673,036 336,518 168,259 504,778 252,389 757,168 378,584 189,292 94,646 47,323 141,970 70,985 212,956 106,478 53,239 159,718 79,859 239,578 119,789 359,368 179,684 89,842 44,921 134,764 67,382 33,691 101,074 50,537 151,612 75,806 37,903 113,710 56,855 170,566 85,283 255,850 127,925 383,776 191,888

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