λ
Sigma Notebook

6,801,381

33 × 251903
Deficient Odd Composite

6,801,381 is odd and not a perfect square. Its factorization is 3^3 × 251903 and its 8 divisors sum to 10,076,160.

Prime Factor Structure

Factorization String 3^3 × 251903
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,076,160
Proper Divisor Sum 3,274,779
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6801329 ← → #6801383

Radix Representation

Decimal 6801381
Binary 11001111100011111100101 (23 bits)
Octal 0o31743745
Hexadecimal 0x67C7E5

Divisor Catalog (8)

1 3 9 27 251,903 755,709 2,267,127 6,801,381

Collatz Trajectory (129 steps to reach 1)

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

6,801,381 20,404,144 10,202,072 5,101,036 2,550,518 1,275,259 3,825,778 1,912,889 5,738,668 2,869,334 1,434,667 4,304,002 2,152,001 6,456,004 3,228,002 1,614,001 4,842,004 2,421,002 1,210,501 3,631,504 1,815,752 907,876 453,938 226,969 680,908 340,454 170,227 510,682 255,341 766,024 383,012 191,506 95,753 287,260 143,630 71,815 215,446 107,723 323,170 161,585 484,756 242,378 121,189 363,568 181,784 90,892 45,446 22,723 68,170 34,085 102,256 51,128 25,564 12,782 6,391 19,174 9,587 28,762 14,381 43,144

More profiles

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