214,020

2² × 3² × 5 × 29 × 41

214,020 factors as 2^2 × 3^2 × 5 × 29 × 41. Its 72 positive divisors give a proper-divisor sum of 473,940, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 29 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 687,960

Proper Divisor Sum 473,940

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #214009 ← → #214021

Radix Representation

Decimal	214020
Binary	110100010000000100 (18 bits)
Octal	0o642004
Hexadecimal	0x34404

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 41 45 58 60 82 87 90 116 123 145 164 174 180 205 246 261 290 348 369 410 435 492 522 580 615 738 820 870 1,044 1,189 1,230 1,305 1,476 1,740 1,845 2,378 2,460 2,610 3,567 3,690 4,756 5,220 5,945 7,134 7,380

Collatz Trajectory (98 steps to reach 1)

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

214,020 107,010 53,505 160,516 80,258 40,129 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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