8,212,384

2⁵ × 271 × 947

Starting at 8,212,384, the Collatz iteration reaches 1 after 155 steps. The first transition is 4106192; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 271 × 947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,244,928

Proper Divisor Sum 8,032,544

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8212381 ← → #8212397

Radix Representation

Decimal	8212384
Binary	11111010100111110100000 (23 bits)
Octal	0o37247640
Hexadecimal	0x7D4FA0

Divisor Catalog (24)

1 2 4 8 16 32 271 542 947 1,084 1,894 2,168 3,788 4,336 7,576 8,672 15,152 30,304 256,637 513,274 1,026,548 2,053,096 4,106,192 8,212,384

Collatz Trajectory (155 steps to reach 1)

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

8,212,384 4,106,192 2,053,096 1,026,548 513,274 256,637 769,912 384,956 192,478 96,239 288,718 144,359 433,078 216,539 649,618 324,809 974,428 487,214 243,607 730,822 365,411 1,096,234 548,117 1,644,352 822,176 411,088 205,544 102,772 51,386 25,693 77,080 38,540 19,270 9,635 28,906 14,453 43,360 21,680 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456

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