26,082

2 × 3⁴ × 7 × 23

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 69,696

Proper Divisor Sum 43,614

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #26053 ← → #26083

Radix Representation

Decimal	26082
Binary	110010111100010 (15 bits)
Octal	0o62742
Hexadecimal	0x65E2

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1,134 1,242 1,449 1,863 2,898 3,726 4,347 8,694 13,041 26,082

Collatz Trajectory (46 steps to reach 1)

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

26,082 13,041 39,124 19,562 9,781 29,344 14,672 7,336 3,668 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 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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