67,376

2⁴ × 4211

67,376 has digital root 2. The neighboring primes are 67369 and 67391; its proper-divisor sum differs from the starting integer by -4,180.

Prime Factor Structure

Factorization String 2^4 × 4211

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 130,572

Proper Divisor Sum 63,196

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #67369 ← → #67391

Radix Representation

Decimal	67376
Binary	10000011100110000 (17 bits)
Octal	0o203460
Hexadecimal	0x10730

Divisor Catalog (10)

1 2 4 8 16 4,211 8,422 16,844 33,688 67,376

Collatz Trajectory (130 steps to reach 1)

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

67,376 33,688 16,844 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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