λ
Integer Codex

423,795

3 × 5 × 19 × 1487
Deficient Odd Composite

For 423,795, the 16 positive divisors have a total of 714,240. Removing 423,795 leaves 290,445, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 714,240
Proper Divisor Sum 290,445
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #423791 ← → #423803

Radix Representation

Decimal 423795
Binary 1100111011101110011 (19 bits)
Octal 0o1473563
Hexadecimal 0x67773

Divisor Catalog (16)

1 3 5 15 19 57 95 285 1,487 4,461 7,435 22,305 28,253 84,759 141,265 423,795

Collatz Trajectory (81 steps to reach 1)

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

423,795 1,271,386 635,693 1,907,080 953,540 476,770 238,385 715,156 357,578 178,789 536,368 268,184 134,092 67,046 33,523 100,570 50,285 150,856 75,428 37,714 18,857 56,572 28,286 14,143 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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