λ
Prime Ledger

6,409,888

25 × 383 × 523
Deficient Even Composite

6,409,888 has the prime decomposition 2^5 × 383 × 523. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 383 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,676,608
Proper Divisor Sum 6,266,720
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6409883 ← → #6409889

Radix Representation

Decimal 6409888
Binary 11000011100111010100000 (23 bits)
Octal 0o30347240
Hexadecimal 0x61CEA0

Divisor Catalog (24)

1 2 4 8 16 32 383 523 766 1,046 1,532 2,092 3,064 4,184 6,128 8,368 12,256 16,736 200,309 400,618 801,236 1,602,472 3,204,944 6,409,888

Collatz Trajectory (72 steps to reach 1)

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

6,409,888 3,204,944 1,602,472 801,236 400,618 200,309 600,928 300,464 150,232 75,116 37,558 18,779 56,338 28,169 84,508 42,254 21,127 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34

More profiles

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