82,262

2 × 41131

Starting at 82,262, the Collatz iteration reaches 1 after 63 steps. The first transition is 41131; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 41131

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 123,396

Proper Divisor Sum 41,134

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #82261 ← → #82267

Radix Representation

Decimal	82262
Binary	10100000101010110 (17 bits)
Octal	0o240526
Hexadecimal	0x14156

Divisor Catalog (4)

1 2 41,131 82,262

Collatz Trajectory (63 steps to reach 1)

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

82,262 41,131 123,394 61,697 185,092 92,546 46,273 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044 19,522 9,761 29,284 14,642 7,321 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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