230,571

3² × 11 × 17 × 137

230,571 factors as 3^2 × 11 × 17 × 137. Its 24 positive divisors give a proper-divisor sum of 156,933, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 17 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 387,504

Proper Divisor Sum 156,933

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #230567 ← → #230597

Radix Representation

Decimal	230571
Binary	111000010010101011 (18 bits)
Octal	0o702253
Hexadecimal	0x384AB

Divisor Catalog (24)

1 3 9 11 17 33 51 99 137 153 187 411 561 1,233 1,507 1,683 2,329 4,521 6,987 13,563 20,961 25,619 76,857 230,571

Collatz Trajectory (80 steps to reach 1)

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

230,571 691,714 345,857 1,037,572 518,786 259,393 778,180 389,090 194,545 583,636 291,818 145,909 437,728 218,864 109,432 54,716 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245

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