λ
Sigma Notebook

6,766,309

11 × 29 × 21211
Deficient Odd Composite

6,766,309 is odd and not a perfect square. Its factorization is 11 × 29 × 21211 and its 8 divisors sum to 7,636,320.

Prime Factor Structure

Factorization String 11 × 29 × 21211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,636,320
Proper Divisor Sum 870,011
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6766283 ← → #6766313

Radix Representation

Decimal 6766309
Binary 11001110011111011100101 (23 bits)
Octal 0o31637345
Hexadecimal 0x673EE5

Divisor Catalog (8)

1 11 29 319 21,211 233,321 615,119 6,766,309

Collatz Trajectory (178 steps to reach 1)

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

6,766,309 20,298,928 10,149,464 5,074,732 2,537,366 1,268,683 3,806,050 1,903,025 5,709,076 2,854,538 1,427,269 4,281,808 2,140,904 1,070,452 535,226 267,613 802,840 401,420 200,710 100,355 301,066 150,533 451,600 225,800 112,900 56,450 28,225 84,676 42,338 21,169 63,508 31,754 15,877 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199

More profiles

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