8,203,382

2 × 11 × 372881

Starting at 8,203,382, the Collatz iteration reaches 1 after 80 steps. The first transition is 4101691; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 372881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,423,752

Proper Divisor Sum 5,220,370

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8203379 ← → #8203409

Radix Representation

Decimal	8203382
Binary	11111010010110001110110 (23 bits)
Octal	0o37226166
Hexadecimal	0x7D2C76

Divisor Catalog (8)

1 2 11 22 372,881 745,762 4,101,691 8,203,382

Collatz Trajectory (80 steps to reach 1)

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

8,203,382 4,101,691 12,305,074 6,152,537 18,457,612 9,228,806 4,614,403 13,843,210 6,921,605 20,764,816 10,382,408 5,191,204 2,595,602 1,297,801 3,893,404 1,946,702 973,351 2,920,054 1,460,027 4,380,082 2,190,041 6,570,124 3,285,062 1,642,531 4,927,594 2,463,797 7,391,392 3,695,696 1,847,848 923,924 461,962 230,981 692,944 346,472 173,236 86,618 43,309 129,928 64,964 32,482 16,241 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

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