206,339

7² × 4211

206,339 factors as 7^2 × 4211. Its 6 positive divisors give a proper-divisor sum of 33,745, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 7^2 × 4211

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 240,084

Proper Divisor Sum 33,745

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #206303 ← → #206341

Radix Representation

Decimal	206339
Binary	110010011000000011 (18 bits)
Octal	0o623003
Hexadecimal	0x32603

Divisor Catalog (6)

1 7 49 4,211 29,477 206,339

Collatz Trajectory (191 steps to reach 1)

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

206,339 619,018 309,509 928,528 464,264 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791

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