λ
Prime Ledger

2,572,842

2 × 3 × 428807
Abundant Even Composite

2,572,842 has the prime decomposition 2 × 3 × 428807. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 428807
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,145,696
Proper Divisor Sum 2,572,854
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2572811 ← → #2572859

Radix Representation

Decimal 2572842
Binary 1001110100001000101010 (22 bits)
Octal 0o11641052
Hexadecimal 0x27422A

Divisor Catalog (8)

1 2 3 6 428,807 857,614 1,286,421 2,572,842

Collatz Trajectory (143 steps to reach 1)

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

2,572,842 1,286,421 3,859,264 1,929,632 964,816 482,408 241,204 120,602 60,301 180,904 90,452 45,226 22,613 67,840 33,920 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466

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