λ
Integer Codex

781,197

3 × 260399
Deficient Odd Composite

For 781,197, the 4 positive divisors have a total of 1,041,600. Removing 781,197 leaves 260,403, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 260399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,041,600
Proper Divisor Sum 260,403
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #781171 ← → #781199

Radix Representation

Decimal 781197
Binary 10111110101110001101 (20 bits)
Octal 0o2765615
Hexadecimal 0xBEB8D

Divisor Catalog (4)

1 3 260,399 781,197

Collatz Trajectory (162 steps to reach 1)

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

781,197 2,343,592 1,171,796 585,898 292,949 878,848 439,424 219,712 109,856 54,928 27,464 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 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 62 31 94 47 142

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