λ
Sigma Notebook

6,812,801

17 × 400753
Deficient Odd Composite

6,812,801 is odd and not a perfect square. Its factorization is 17 × 400753 and its 4 divisors sum to 7,213,572.

Prime Factor Structure

Factorization String 17 × 400753
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,213,572
Proper Divisor Sum 400,771
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6812783 ← → #6812803

Radix Representation

Decimal 6812801
Binary 11001111111010010000001 (23 bits)
Octal 0o31772201
Hexadecimal 0x67F481

Divisor Catalog (4)

1 17 400,753 6,812,801

Collatz Trajectory (222 steps to reach 1)

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

6,812,801 20,438,404 10,219,202 5,109,601 15,328,804 7,664,402 3,832,201 11,496,604 5,748,302 2,874,151 8,622,454 4,311,227 12,933,682 6,466,841 19,400,524 9,700,262 4,850,131 14,550,394 7,275,197 21,825,592 10,912,796 5,456,398 2,728,199 8,184,598 4,092,299 12,276,898 6,138,449 18,415,348 9,207,674 4,603,837 13,811,512 6,905,756 3,452,878 1,726,439 5,179,318 2,589,659 7,768,978 3,884,489 11,653,468 5,826,734 2,913,367 8,740,102 4,370,051 13,110,154 6,555,077 19,665,232 9,832,616 4,916,308 2,458,154 1,229,077 3,687,232 1,843,616 921,808 460,904 230,452 115,226 57,613 172,840 86,420 43,210

More profiles

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