λ
Prime Ledger

6,736,224

25 × 3 × 11 × 6379
Abundant Even Composite

6,736,224 has the prime decomposition 2^5 × 3 × 11 × 6379. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 6379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,293,120
Proper Divisor Sum 12,556,896
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6736211 ← → #6736243

Radix Representation

Decimal 6736224
Binary 11001101100100101100000 (23 bits)
Octal 0o31544540
Hexadecimal 0x66C960

Divisor Catalog (48)

1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1,056 6,379 12,758 19,137 25,516 38,274 51,032 70,169 76,548 102,064 140,338 153,096 204,128 210,507 280,676 306,192 421,014 561,352 612,384 842,028 1,122,704 1,684,056 2,245,408 3,368,112 6,736,224

Collatz Trajectory (85 steps to reach 1)

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

6,736,224 3,368,112 1,684,056 842,028 421,014 210,507 631,522 315,761 947,284 473,642 236,821 710,464 355,232 177,616 88,808 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

More profiles

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