8,151,462

2 × 3³ × 11 × 13723

Starting at 8,151,462, the Collatz iteration reaches 1 after 230 steps. The first transition is 4075731; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 13723

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,762,560

Proper Divisor Sum 11,611,098

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8151431 ← → #8151463

Radix Representation

Decimal	8151462
Binary	11111000110000110100110 (23 bits)
Octal	0o37060646
Hexadecimal	0x7C61A6

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 13,723 27,446 41,169 82,338 123,507 150,953 247,014 301,906 370,521 452,859 741,042 905,718 1,358,577 2,717,154 4,075,731 8,151,462

Collatz Trajectory (230 steps to reach 1)

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

8,151,462 4,075,731 12,227,194 6,113,597 18,340,792 9,170,396 4,585,198 2,292,599 6,877,798 3,438,899 10,316,698 5,158,349 15,475,048 7,737,524 3,868,762 1,934,381 5,803,144 2,901,572 1,450,786 725,393 2,176,180 1,088,090 544,045 1,632,136 816,068 408,034 204,017 612,052 306,026 153,013 459,040 229,520 114,760 57,380 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620

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