λ
Sigma Notebook

8,052,477

3 × 349 × 7691
Deficient Odd Composite

8,052,477 is odd and not a perfect square. Its factorization is 3 × 349 × 7691 and its 8 divisors sum to 10,768,800.

Prime Factor Structure

Factorization String 3 × 349 × 7691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,768,800
Proper Divisor Sum 2,716,323
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8052433 ← → #8052479

Radix Representation

Decimal 8052477
Binary 11110101101111011111101 (23 bits)
Octal 0o36557375
Hexadecimal 0x7ADEFD

Divisor Catalog (8)

1 3 349 1,047 7,691 23,073 2,684,159 8,052,477

Collatz Trajectory (186 steps to reach 1)

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

8,052,477 24,157,432 12,078,716 6,039,358 3,019,679 9,059,038 4,529,519 13,588,558 6,794,279 20,382,838 10,191,419 30,574,258 15,287,129 45,861,388 22,930,694 11,465,347 34,396,042 17,198,021 51,594,064 25,797,032 12,898,516 6,449,258 3,224,629 9,673,888 4,836,944 2,418,472 1,209,236 604,618 302,309 906,928 453,464 226,732 113,366 56,683 170,050 85,025 255,076 127,538 63,769 191,308 95,654 47,827 143,482 71,741 215,224 107,612 53,806 26,903 80,710 40,355 121,066 60,533 181,600 90,800 45,400 22,700 11,350 5,675 17,026 8,513

More profiles

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