λ
Prime Ledger

3,218,396

22 × 271 × 2969
Deficient Even Composite

3,218,396 has the prime decomposition 2^2 × 271 × 2969. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 271 × 2969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,654,880
Proper Divisor Sum 2,436,484
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3218357 ← → #3218399

Radix Representation

Decimal 3218396
Binary 1100010001101111011100 (22 bits)
Octal 0o14215734
Hexadecimal 0x311BDC

Divisor Catalog (12)

1 2 4 271 542 1,084 2,969 5,938 11,876 804,599 1,609,198 3,218,396

Collatz Trajectory (146 steps to reach 1)

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

3,218,396 1,609,198 804,599 2,413,798 1,206,899 3,620,698 1,810,349 5,431,048 2,715,524 1,357,762 678,881 2,036,644 1,018,322 509,161 1,527,484 763,742 381,871 1,145,614 572,807 1,718,422 859,211 2,577,634 1,288,817 3,866,452 1,933,226 966,613 2,899,840 1,449,920 724,960 362,480 181,240 90,620 45,310 22,655 67,966 33,983 101,950 50,975 152,926 76,463 229,390 114,695 344,086 172,043 516,130 258,065 774,196 387,098 193,549 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414

More profiles

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