λ
Prime Ledger

6,409,376

25 × 200293
Deficient Even Composite

6,409,376 has the prime decomposition 2^5 × 200293. Its 2 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 200293
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,618,522
Proper Divisor Sum 6,209,146
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6409373 ← → #6409379

Radix Representation

Decimal 6409376
Binary 11000011100110010100000 (23 bits)
Octal 0o30346240
Hexadecimal 0x61CCA0

Divisor Catalog (12)

1 2 4 8 16 32 200,293 400,586 801,172 1,602,344 3,204,688 6,409,376

Collatz Trajectory (72 steps to reach 1)

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

6,409,376 3,204,688 1,602,344 801,172 400,586 200,293 600,880 300,440 150,220 75,110 37,555 112,666 56,333 169,000 84,500 42,250 21,125 63,376 31,688 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 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

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