λ
Integer Codex

206,401

13 × 15877
Deficient Odd Composite

For 206,401, the 4 positive divisors have a total of 222,292. Removing 206,401 leaves 15,891, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 15877
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 222,292
Proper Divisor Sum 15,891
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #206399 ← → #206407

Radix Representation

Decimal 206401
Binary 110010011001000001 (18 bits)
Octal 0o623101
Hexadecimal 0x32641

Divisor Catalog (4)

1 13 15,877 206,401

Collatz Trajectory (204 steps to reach 1)

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

206,401 619,204 309,602 154,801 464,404 232,202 116,101 348,304 174,152 87,076 43,538 21,769 65,308 32,654 16,327 48,982 24,491 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310

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