214,304

2⁵ × 37 × 181

214,304 has the prime decomposition 2^5 × 37 × 181. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 37 × 181

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 435,708

Proper Divisor Sum 221,404

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #214297 ← → #214309

Radix Representation

Decimal	214304
Binary	110100010100100000 (18 bits)
Octal	0o642440
Hexadecimal	0x34520

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 181 296 362 592 724 1,184 1,448 2,896 5,792 6,697 13,394 26,788 53,576 107,152 214,304

Collatz Trajectory (98 steps to reach 1)

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

214,304 107,152 53,576 26,788 13,394 6,697 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 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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