6,824,493

3⁴ × 13 × 6481

6,824,493 has the prime decomposition 3^4 × 13 × 6481. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 13 × 6481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,980,508

Proper Divisor Sum 4,156,015

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6824479 ← → #6824507

Radix Representation

Decimal	6824493
Binary	11010000010001000101101 (23 bits)
Octal	0o32021055
Hexadecimal	0x68222D

Divisor Catalog (20)

1 3 9 13 27 39 81 117 351 1,053 6,481 19,443 58,329 84,253 174,987 252,759 524,961 758,277 2,274,831 6,824,493

Collatz Trajectory (85 steps to reach 1)

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

6,824,493 20,473,480 10,236,740 5,118,370 2,559,185 7,677,556 3,838,778 1,919,389 5,758,168 2,879,084 1,439,542 719,771 2,159,314 1,079,657 3,238,972 1,619,486 809,743 2,429,230 1,214,615 3,643,846 1,821,923 5,465,770 2,732,885 8,198,656 4,099,328 2,049,664 1,024,832 512,416 256,208 128,104 64,052 32,026 16,013 48,040 24,020 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202

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