λ
Prime Ledger

2,933,588

22 × 7 × 17 × 6163
Abundant Even Composite

2,933,588 has the prime decomposition 2^2 × 7 × 17 × 6163. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 6163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,213,312
Proper Divisor Sum 3,279,724
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2933563 ← → #2933597

Radix Representation

Decimal 2933588
Binary 1011001100001101010100 (22 bits)
Octal 0o13141524
Hexadecimal 0x2CC354

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 6,163 12,326 24,652 43,141 86,282 104,771 172,564 209,542 419,084 733,397 1,466,794 2,933,588

Collatz Trajectory (37 steps to reach 1)

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

2,933,588 1,466,794 733,397 2,200,192 1,100,096 550,048 275,024 137,512 68,756 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16 8 4 2 1

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