6,209,217

3⁴ × 7 × 47 × 233

6,209,217 has the prime decomposition 3^4 × 7 × 47 × 233. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 7 × 47 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,872,576

Proper Divisor Sum 4,663,359

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6209213 ← → #6209239

Radix Representation

Decimal	6209217
Binary	10111101011111011000001 (23 bits)
Octal	0o27537301
Hexadecimal	0x5EBEC1

Divisor Catalog (40)

1 3 7 9 21 27 47 63 81 141 189 233 329 423 567 699 987 1,269 1,631 2,097 2,961 3,807 4,893 6,291 8,883 10,951 14,679 18,873 26,649 32,853 44,037 76,657 98,559 132,111 229,971 295,677 689,913 887,031 2,069,739 6,209,217

Collatz Trajectory (77 steps to reach 1)

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

6,209,217 18,627,652 9,313,826 4,656,913 13,970,740 6,985,370 3,492,685 10,478,056 5,239,028 2,619,514 1,309,757 3,929,272 1,964,636 982,318 491,159 1,473,478 736,739 2,210,218 1,105,109 3,315,328 1,657,664 828,832 414,416 207,208 103,604 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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