λ
Sigma Notebook

214,392

23 × 3 × 8933
Abundant Even Composite

214,392 is even and not a perfect square. Its factorization is 2^3 × 3 × 8933 and its 16 divisors sum to 536,040.

Prime Factor Structure

Factorization String 2^3 × 3 × 8933
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 536,040
Proper Divisor Sum 321,648
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #214391 ← → #214399

Radix Representation

Decimal 214392
Binary 110100010101111000 (18 bits)
Octal 0o642570
Hexadecimal 0x34578

Divisor Catalog (16)

1 2 3 4 6 8 12 24 8,933 17,866 26,799 35,732 53,598 71,464 107,196 214,392

Collatz Trajectory (98 steps to reach 1)

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

214,392 107,196 53,598 26,799 80,398 40,199 120,598 60,299 180,898 90,449 271,348 135,674 67,837 203,512 101,756 50,878 25,439 76,318 38,159 114,478 57,239 171,718 85,859 257,578 128,789 386,368 193,184 96,592 48,296 24,148 12,074 6,037 18,112 9,056 4,528 2,264 1,132 566 283 850 425 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

More profiles

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