λ
Sigma Notebook

1,316,763

33 × 7 × 6967
Deficient Odd Composite

1,316,763 is odd and not a perfect square. Its factorization is 3^3 × 7 × 6967 and its 16 divisors sum to 2,229,760.

Prime Factor Structure

Factorization String 3^3 × 7 × 6967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,229,760
Proper Divisor Sum 912,997
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1316761 ← → #1316767

Radix Representation

Decimal 1316763
Binary 101000001011110011011 (21 bits)
Octal 0o5013633
Hexadecimal 0x14179B

Divisor Catalog (16)

1 3 7 9 21 27 63 189 6,967 20,901 48,769 62,703 146,307 188,109 438,921 1,316,763

Collatz Trajectory (199 steps to reach 1)

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

1,316,763 3,950,290 1,975,145 5,925,436 2,962,718 1,481,359 4,444,078 2,222,039 6,666,118 3,333,059 9,999,178 4,999,589 14,998,768 7,499,384 3,749,692 1,874,846 937,423 2,812,270 1,406,135 4,218,406 2,109,203 6,327,610 3,163,805 9,491,416 4,745,708 2,372,854 1,186,427 3,559,282 1,779,641 5,338,924 2,669,462 1,334,731 4,004,194 2,002,097 6,006,292 3,003,146 1,501,573 4,504,720 2,252,360 1,126,180 563,090 281,545 844,636 422,318 211,159 633,478 316,739 950,218 475,109 1,425,328 712,664 356,332 178,166 89,083 267,250 133,625 400,876 200,438 100,219 300,658

More profiles

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