82,494

2 × 3² × 4583

Starting at 82,494, the Collatz iteration reaches 1 after 151 steps. The first transition is 41247; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 4583

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 178,776

Proper Divisor Sum 96,282

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #82493 ← → #82499

Radix Representation

Decimal	82494
Binary	10100001000111110 (17 bits)
Octal	0o241076
Hexadecimal	0x1423E

Divisor Catalog (12)

1 2 3 6 9 18 4,583 9,166 13,749 27,498 41,247 82,494

Collatz Trajectory (151 steps to reach 1)

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

82,494 41,247 123,742 61,871 185,614 92,807 278,422 139,211 417,634 208,817 626,452 313,226 156,613 469,840 234,920 117,460 58,730 29,365 88,096 44,048 22,024 11,012 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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