6,801,561

3² × 13 × 61 × 953

6,801,561 is odd and not a perfect square. Its factorization is 3^2 × 13 × 61 × 953 and its 24 divisors sum to 10,764,936.

Prime Factor Structure

Factorization String 3^2 × 13 × 61 × 953

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,764,936

Proper Divisor Sum 3,963,375

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6801559 ← → #6801577

Radix Representation

Decimal	6801561
Binary	11001111100100010011001 (23 bits)
Octal	0o31744231
Hexadecimal	0x67C899

Divisor Catalog (24)

1 3 9 13 39 61 117 183 549 793 953 2,379 2,859 7,137 8,577 12,389 37,167 58,133 111,501 174,399 523,197 755,729 2,267,187 6,801,561

Collatz Trajectory (129 steps to reach 1)

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

6,801,561 20,404,684 10,202,342 5,101,171 15,303,514 7,651,757 22,955,272 11,477,636 5,738,818 2,869,409 8,608,228 4,304,114 2,152,057 6,456,172 3,228,086 1,614,043 4,842,130 2,421,065 7,263,196 3,631,598 1,815,799 5,447,398 2,723,699 8,171,098 4,085,549 12,256,648 6,128,324 3,064,162 1,532,081 4,596,244 2,298,122 1,149,061 3,447,184 1,723,592 861,796 430,898 215,449 646,348 323,174 161,587 484,762 242,381 727,144 363,572 181,786 90,893 272,680 136,340 68,170 34,085 102,256 51,128 25,564 12,782 6,391 19,174 9,587 28,762 14,381 43,144

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