66,340

2² × 5 × 31 × 107

66,340 factors as 2^2 × 5 × 31 × 107. Its 24 positive divisors give a proper-divisor sum of 78,812, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 145,152

Proper Divisor Sum 78,812

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #66337 ← → #66343

Radix Representation

Decimal	66340
Binary	10000001100100100 (17 bits)
Octal	0o201444
Hexadecimal	0x10324

Divisor Catalog (24)

1 2 4 5 10 20 31 62 107 124 155 214 310 428 535 620 1,070 2,140 3,317 6,634 13,268 16,585 33,170 66,340

Collatz Trajectory (130 steps to reach 1)

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

66,340 33,170 16,585 49,756 24,878 12,439 37,318 18,659 55,978 27,989 83,968 41,984 20,992 10,496 5,248 2,624 1,312 656 328 164 82 41 124 62 31 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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