8,212,329

3² × 912481

Starting at 8,212,329, the Collatz iteration reaches 1 after 80 steps. The first transition is 24636988; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 912481

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,862,266

Proper Divisor Sum 3,649,937

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8212291 ← → #8212333

Radix Representation

Decimal	8212329
Binary	11111010100111101101001 (23 bits)
Octal	0o37247551
Hexadecimal	0x7D4F69

Divisor Catalog (6)

1 3 9 912,481 2,737,443 8,212,329

Collatz Trajectory (80 steps to reach 1)

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

8,212,329 24,636,988 12,318,494 6,159,247 18,477,742 9,238,871 27,716,614 13,858,307 41,574,922 20,787,461 62,362,384 31,181,192 15,590,596 7,795,298 3,897,649 11,692,948 5,846,474 2,923,237 8,769,712 4,384,856 2,192,428 1,096,214 548,107 1,644,322 822,161 2,466,484 1,233,242 616,621 1,849,864 924,932 462,466 231,233 693,700 346,850 173,425 520,276 260,138 130,069 390,208 195,104 97,552 48,776 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448

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