8,082,234

2 × 3³ × 97 × 1543

Starting at 8,082,234, the Collatz iteration reaches 1 after 261 steps. The first transition is 4041117; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 97 × 1543

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,157,440

Proper Divisor Sum 10,075,206

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8082229 ← → #8082247

Radix Representation

Decimal	8082234
Binary	11110110101001100111010 (23 bits)
Octal	0o36651472
Hexadecimal	0x7B533A

Divisor Catalog (32)

1 2 3 6 9 18 27 54 97 194 291 582 873 1,543 1,746 2,619 3,086 4,629 5,238 9,258 13,887 27,774 41,661 83,322 149,671 299,342 449,013 898,026 1,347,039 2,694,078 4,041,117 8,082,234

Collatz Trajectory (261 steps to reach 1)

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

8,082,234 4,041,117 12,123,352 6,061,676 3,030,838 1,515,419 4,546,258 2,273,129 6,819,388 3,409,694 1,704,847 5,114,542 2,557,271 7,671,814 3,835,907 11,507,722 5,753,861 17,261,584 8,630,792 4,315,396 2,157,698 1,078,849 3,236,548 1,618,274 809,137 2,427,412 1,213,706 606,853 1,820,560 910,280 455,140 227,570 113,785 341,356 170,678 85,339 256,018 128,009 384,028 192,014 96,007 288,022 144,011 432,034 216,017 648,052 324,026 162,013 486,040 243,020 121,510 60,755 182,266 91,133 273,400 136,700 68,350 34,175 102,526 51,263

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