67,344

2⁴ × 3 × 23 × 61

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 184,512

Proper Divisor Sum 117,168

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #67343 ← → #67349

Radix Representation

Decimal	67344
Binary	10000011100010000 (17 bits)
Octal	0o203420
Hexadecimal	0x10710

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 488 552 732 976 1,104 1,403 1,464 2,806 2,928 4,209 5,612 8,418 11,224 16,836 22,448 33,672 67,344

Collatz Trajectory (37 steps to reach 1)

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

67,344 33,672 16,836 8,418 4,209 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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