205,011

3⁴ × 2531

205,011 factors as 3^4 × 2531. Its 10 positive divisors give a proper-divisor sum of 101,361, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3^4 × 2531

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 306,372

Proper Divisor Sum 101,361

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #204983 ← → #205019

Radix Representation

Decimal	205011
Binary	110010000011010011 (18 bits)
Octal	0o620323
Hexadecimal	0x320D3

Divisor Catalog (10)

1 3 9 27 81 2,531 7,593 22,779 68,337 205,011

Collatz Trajectory (80 steps to reach 1)

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

205,011 615,034 307,517 922,552 461,276 230,638 115,319 345,958 172,979 518,938 259,469 778,408 389,204 194,602 97,301 291,904 145,952 72,976 36,488 18,244 9,122 4,561 13,684 6,842 3,421 10,264 5,132 2,566 1,283 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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