λ
Prime Ledger

6,726,436

22 × 193 × 8713
Deficient Even Composite

6,726,436 has the prime decomposition 2^2 × 193 × 8713. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 193 × 8713
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,833,612
Proper Divisor Sum 5,107,176
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6726431 ← → #6726481

Radix Representation

Decimal 6726436
Binary 11001101010001100100100 (23 bits)
Octal 0o31521444
Hexadecimal 0x66A324

Divisor Catalog (12)

1 2 4 193 386 772 8,713 17,426 34,852 1,681,609 3,363,218 6,726,436

Collatz Trajectory (209 steps to reach 1)

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

6,726,436 3,363,218 1,681,609 5,044,828 2,522,414 1,261,207 3,783,622 1,891,811 5,675,434 2,837,717 8,513,152 4,256,576 2,128,288 1,064,144 532,072 266,036 133,018 66,509 199,528 99,764 49,882 24,941 74,824 37,412 18,706 9,353 28,060 14,030 7,015 21,046 10,523 31,570 15,785 47,356 23,678 11,839 35,518 17,759 53,278 26,639 79,918 39,959 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114

More profiles

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