214,424

2³ × 7² × 547

214,424 has the prime decomposition 2^3 × 7^2 × 547. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 547

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 468,540

Proper Divisor Sum 254,116

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #214399 ← → #214433

Radix Representation

Decimal	214424
Binary	110100010110011000 (18 bits)
Octal	0o642630
Hexadecimal	0x34598

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 547 1,094 2,188 3,829 4,376 7,658 15,316 26,803 30,632 53,606 107,212 214,424

Collatz Trajectory (124 steps to reach 1)

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

214,424 107,212 53,606 26,803 80,410 40,205 120,616 60,308 30,154 15,077 45,232 22,616 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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