λ
Prime Ledger

3,372,506

2 × 827 × 2039
Deficient Even Composite

3,372,506 has the prime decomposition 2 × 827 × 2039. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 827 × 2039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,067,360
Proper Divisor Sum 1,694,854
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3372503 ← → #3372541

Radix Representation

Decimal 3372506
Binary 1100110111010111011010 (22 bits)
Octal 0o14672732
Hexadecimal 0x3375DA

Divisor Catalog (8)

1 2 827 1,654 2,039 4,078 1,686,253 3,372,506

Collatz Trajectory (133 steps to reach 1)

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

3,372,506 1,686,253 5,058,760 2,529,380 1,264,690 632,345 1,897,036 948,518 474,259 1,422,778 711,389 2,134,168 1,067,084 533,542 266,771 800,314 400,157 1,200,472 600,236 300,118 150,059 450,178 225,089 675,268 337,634 168,817 506,452 253,226 126,613 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568

More profiles

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