λ
Sigma Notebook

3,663,673

13 × 31 × 9091
Deficient Odd Composite

3,663,673 is odd and not a perfect square. Its factorization is 13 × 31 × 9091 and its 8 divisors sum to 4,073,216.

Prime Factor Structure

Factorization String 13 × 31 × 9091
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,073,216
Proper Divisor Sum 409,543
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3663661 ← → #3663689

Radix Representation

Decimal 3663673
Binary 1101111110011100111001 (22 bits)
Octal 0o15763471
Hexadecimal 0x37E739

Divisor Catalog (8)

1 13 31 403 9,091 118,183 281,821 3,663,673

Collatz Trajectory (216 steps to reach 1)

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

3,663,673 10,991,020 5,495,510 2,747,755 8,243,266 4,121,633 12,364,900 6,182,450 3,091,225 9,273,676 4,636,838 2,318,419 6,955,258 3,477,629 10,432,888 5,216,444 2,608,222 1,304,111 3,912,334 1,956,167 5,868,502 2,934,251 8,802,754 4,401,377 13,204,132 6,602,066 3,301,033 9,903,100 4,951,550 2,475,775 7,427,326 3,713,663 11,140,990 5,570,495 16,711,486 8,355,743 25,067,230 12,533,615 37,600,846 18,800,423 56,401,270 28,200,635 84,601,906 42,300,953 126,902,860 63,451,430 31,725,715 95,177,146 47,588,573 142,765,720 71,382,860 35,691,430 17,845,715 53,537,146 26,768,573 80,305,720 40,152,860 20,076,430 10,038,215 30,114,646

More profiles

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