λ
Integer Codex

694,563

3 × 127 × 1823
Deficient Odd Composite

For 694,563, the 8 positive divisors have a total of 933,888. Removing 694,563 leaves 239,325, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 127 × 1823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 933,888
Proper Divisor Sum 239,325
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #694559 ← → #694567

Radix Representation

Decimal 694563
Binary 10101001100100100011 (20 bits)
Octal 0o2514443
Hexadecimal 0xA9923

Divisor Catalog (8)

1 3 127 381 1,823 5,469 231,521 694,563

Collatz Trajectory (167 steps to reach 1)

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

694,563 2,083,690 1,041,845 3,125,536 1,562,768 781,384 390,692 195,346 97,673 293,020 146,510 73,255 219,766 109,883 329,650 164,825 494,476 247,238 123,619 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124

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