λ
Sigma Notebook

8,347,413

3 × 23 × 120977
Deficient Odd Composite

8,347,413 is odd and not a perfect square. Its factorization is 3 × 23 × 120977 and its 8 divisors sum to 11,613,888.

Prime Factor Structure

Factorization String 3 × 23 × 120977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,613,888
Proper Divisor Sum 3,266,475
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8347373 ← → #8347433

Radix Representation

Decimal 8347413
Binary 11111110101111100010101 (23 bits)
Octal 0o37657425
Hexadecimal 0x7F5F15

Divisor Catalog (8)

1 3 23 69 120,977 362,931 2,782,471 8,347,413

Collatz Trajectory (168 steps to reach 1)

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

8,347,413 25,042,240 12,521,120 6,260,560 3,130,280 1,565,140 782,570 391,285 1,173,856 586,928 293,464 146,732 73,366 36,683 110,050 55,025 165,076 82,538 41,269 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250

More profiles

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