λ
Modular Archive

206,397

32 × 17 × 19 × 71
Deficient Odd Composite

The decimal integer 206,397 is 110010011000111101 in binary (18 bits), 623075 in octal and 3263D in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 17 × 19 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 336,960
Proper Divisor Sum 130,563
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #206383 ← → #206399

Radix Representation

Decimal 206397
Binary 110010011000111101 (18 bits)
Octal 0o623075
Hexadecimal 0x3263D

Divisor Catalog (24)

1 3 9 17 19 51 57 71 153 171 213 323 639 969 1,207 1,349 2,907 3,621 4,047 10,863 12,141 22,933 68,799 206,397

Collatz Trajectory (67 steps to reach 1)

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

206,397 619,192 309,596 154,798 77,399 232,198 116,099 348,298 174,149 522,448 261,224 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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