6,727,113

3² × 747457

6,727,113 factors as 3^2 × 747457. Its 6 positive divisors give a proper-divisor sum of 2,989,841, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 3^2 × 747457

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 9,716,954

Proper Divisor Sum 2,989,841

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6727099 ← → #6727139

Radix Representation

Decimal	6727113
Binary	11001101010010111001001 (23 bits)
Octal	0o31522711
Hexadecimal	0x66A5C9

Divisor Catalog (6)

1 3 9 747,457 2,242,371 6,727,113

Collatz Trajectory (209 steps to reach 1)

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

6,727,113 20,181,340 10,090,670 5,045,335 15,136,006 7,568,003 22,704,010 11,352,005 34,056,016 17,028,008 8,514,004 4,257,002 2,128,501 6,385,504 3,192,752 1,596,376 798,188 399,094 199,547 598,642 299,321 897,964 448,982 224,491 673,474 336,737 1,010,212 505,106 252,553 757,660 378,830 189,415 568,246 284,123 852,370 426,185 1,278,556 639,278 319,639 958,918 479,459 1,438,378 719,189 2,157,568 1,078,784 539,392 269,696 134,848 67,424 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114

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