213,225

3 × 5² × 2843

213,225 factors as 3 × 5^2 × 2843. Its 12 positive divisors give a proper-divisor sum of 139,431, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 2843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 352,656

Proper Divisor Sum 139,431

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #213223 ← → #213229

Radix Representation

Decimal	213225
Binary	110100000011101001 (18 bits)
Octal	0o640351
Hexadecimal	0x340E9

Divisor Catalog (12)

1 3 5 15 25 75 2,843 8,529 14,215 42,645 71,075 213,225

Collatz Trajectory (98 steps to reach 1)

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

213,225 639,676 319,838 159,919 479,758 239,879 719,638 359,819 1,079,458 539,729 1,619,188 809,594 404,797 1,214,392 607,196 303,598 151,799 455,398 227,699 683,098 341,549 1,024,648 512,324 256,162 128,081 384,244 192,122 96,061 288,184 144,092 72,046 36,023 108,070 54,035 162,106 81,053 243,160 121,580 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116

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