λ
Prime Ledger

2,431,434

2 × 3 × 405239
Abundant Even Composite

2,431,434 has the prime decomposition 2 × 3 × 405239. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 405239
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,862,880
Proper Divisor Sum 2,431,446
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2431433 ← → #2431439

Radix Representation

Decimal 2431434
Binary 1001010001100111001010 (22 bits)
Octal 0o11214712
Hexadecimal 0x2519CA

Divisor Catalog (8)

1 2 3 6 405,239 810,478 1,215,717 2,431,434

Collatz Trajectory (112 steps to reach 1)

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

2,431,434 1,215,717 3,647,152 1,823,576 911,788 455,894 227,947 683,842 341,921 1,025,764 512,882 256,441 769,324 384,662 192,331 576,994 288,497 865,492 432,746 216,373 649,120 324,560 162,280 81,140 40,570 20,285 60,856 30,428 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430

More profiles

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