λ
Sigma Notebook

8,329,301

103 × 193 × 419
Deficient Odd Composite

8,329,301 is odd and not a perfect square. Its factorization is 103 × 193 × 419 and its 8 divisors sum to 8,473,920.

Prime Factor Structure

Factorization String 103 × 193 × 419
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,473,920
Proper Divisor Sum 144,619
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8329267 ← → #8329309

Radix Representation

Decimal 8329301
Binary 11111110001100001010101 (23 bits)
Octal 0o37614125
Hexadecimal 0x7F1855

Divisor Catalog (8)

1 103 193 419 19,879 43,157 80,867 8,329,301

Collatz Trajectory (137 steps to reach 1)

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

8,329,301 24,987,904 12,493,952 6,246,976 3,123,488 1,561,744 780,872 390,436 195,218 97,609 292,828 146,414 73,207 219,622 109,811 329,434 164,717 494,152 247,076 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852

More profiles

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