λ
Zalai Atlas

3,831,438

2 × 3 × 13 × 49121
Abundant Even Composite

3,831,438 has the prime decomposition 2 × 3 × 13 × 49121. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 49121
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,252,496
Proper Divisor Sum 4,421,058
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3831437 ← → #3831439

Radix Representation

Decimal 3831438
Binary 1110100111011010001110 (22 bits)
Octal 0o16473216
Hexadecimal 0x3A768E

Divisor Catalog (16)

1 2 3 6 13 26 39 78 49,121 98,242 147,363 294,726 638,573 1,277,146 1,915,719 3,831,438

Collatz Trajectory (216 steps to reach 1)

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

3,831,438 1,915,719 5,747,158 2,873,579 8,620,738 4,310,369 12,931,108 6,465,554 3,232,777 9,698,332 4,849,166 2,424,583 7,273,750 3,636,875 10,910,626 5,455,313 16,365,940 8,182,970 4,091,485 12,274,456 6,137,228 3,068,614 1,534,307 4,602,922 2,301,461 6,904,384 3,452,192 1,726,096 863,048 431,524 215,762 107,881 323,644 161,822 80,911 242,734 121,367 364,102 182,051 546,154 273,077 819,232 409,616 204,808 102,404 51,202 25,601 76,804 38,402 19,201 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304

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