8,321,524

2² × 41 × 50741

Starting at 8,321,524, the Collatz iteration reaches 1 after 93 steps. The first transition is 4160762; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 50741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,918,148

Proper Divisor Sum 6,596,624

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8321519 ← → #8321527

Radix Representation

Decimal	8321524
Binary	11111101111100111110100 (23 bits)
Octal	0o37574764
Hexadecimal	0x7EF9F4

Divisor Catalog (12)

1 2 4 41 82 164 50,741 101,482 202,964 2,080,381 4,160,762 8,321,524

Collatz Trajectory (93 steps to reach 1)

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

8,321,524 4,160,762 2,080,381 6,241,144 3,120,572 1,560,286 780,143 2,340,430 1,170,215 3,510,646 1,755,323 5,265,970 2,632,985 7,898,956 3,949,478 1,974,739 5,924,218 2,962,109 8,886,328 4,443,164 2,221,582 1,110,791 3,332,374 1,666,187 4,998,562 2,499,281 7,497,844 3,748,922 1,874,461 5,623,384 2,811,692 1,405,846 702,923 2,108,770 1,054,385 3,163,156 1,581,578 790,789 2,372,368 1,186,184 593,092 296,546 148,273 444,820 222,410 111,205 333,616 166,808 83,404 41,702 20,851 62,554 31,277 93,832 46,916 23,458 11,729 35,188 17,594 8,797

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