8,016,382

2 × 11 × 463 × 787

Starting at 8,016,382, the Collatz iteration reaches 1 after 168 steps. The first transition is 4008191; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 463 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,162,752

Proper Divisor Sum 5,146,370

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8016373 ← → #8016403

Radix Representation

Decimal	8016382
Binary	11110100101000111111110 (23 bits)
Octal	0o36450776
Hexadecimal	0x7A51FE

Divisor Catalog (16)

1 2 11 22 463 787 926 1,574 5,093 8,657 10,186 17,314 364,381 728,762 4,008,191 8,016,382

Collatz Trajectory (168 steps to reach 1)

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

8,016,382 4,008,191 12,024,574 6,012,287 18,036,862 9,018,431 27,055,294 13,527,647 40,582,942 20,291,471 60,874,414 30,437,207 91,311,622 45,655,811 136,967,434 68,483,717 205,451,152 102,725,576 51,362,788 25,681,394 12,840,697 38,522,092 19,261,046 9,630,523 28,891,570 14,445,785 43,337,356 21,668,678 10,834,339 32,503,018 16,251,509 48,754,528 24,377,264 12,188,632 6,094,316 3,047,158 1,523,579 4,570,738 2,285,369 6,856,108 3,428,054 1,714,027 5,142,082 2,571,041 7,713,124 3,856,562 1,928,281 5,784,844 2,892,422 1,446,211 4,338,634 2,169,317 6,507,952 3,253,976 1,626,988 813,494 406,747 1,220,242 610,121 1,830,364

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