217,989

3² × 53 × 457

217,989 factors as 3^2 × 53 × 457. Its 12 positive divisors give a proper-divisor sum of 103,527, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 3^2 × 53 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 321,516

Proper Divisor Sum 103,527

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #217981 ← → #218003

Radix Representation

Decimal	217989
Binary	110101001110000101 (18 bits)
Octal	0o651605
Hexadecimal	0x35385

Divisor Catalog (12)

1 3 9 53 159 457 477 1,371 4,113 24,221 72,663 217,989

Collatz Trajectory (155 steps to reach 1)

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

217,989 653,968 326,984 163,492 81,746 40,873 122,620 61,310 30,655 91,966 45,983 137,950 68,975 206,926 103,463 310,390 155,195 465,586 232,793 698,380 349,190 174,595 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302

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