λ
Prime Ledger

2,486,336

26 × 53 × 733
Abundant Even Composite

2,486,336 has the prime decomposition 2^6 × 53 × 733. Its 3 distinct prime factors produce 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 53 × 733
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,033,772
Proper Divisor Sum 2,547,436
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2486333 ← → #2486371

Radix Representation

Decimal 2486336
Binary 1001011111000001000000 (22 bits)
Octal 0o11370100
Hexadecimal 0x25F040

Divisor Catalog (28)

1 2 4 8 16 32 53 64 106 212 424 733 848 1,466 1,696 2,932 3,392 5,864 11,728 23,456 38,849 46,912 77,698 155,396 310,792 621,584 1,243,168 2,486,336

Collatz Trajectory (130 steps to reach 1)

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

2,486,336 1,243,168 621,584 310,792 155,396 77,698 38,849 116,548 58,274 29,137 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

More profiles

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