λ
Sigma Notebook

6,525,123

3 × 11 × 23 × 8597
Deficient Odd Composite

6,525,123 is odd and not a perfect square. Its factorization is 3 × 11 × 23 × 8597 and its 16 divisors sum to 9,904,896.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 8597
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,904,896
Proper Divisor Sum 3,379,773
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6525119 ← → #6525149

Radix Representation

Decimal 6525123
Binary 11000111001000011000011 (23 bits)
Octal 0o30710303
Hexadecimal 0x6390C3

Divisor Catalog (16)

1 3 11 23 33 69 253 759 8,597 25,791 94,567 197,731 283,701 593,193 2,175,041 6,525,123

Collatz Trajectory (165 steps to reach 1)

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

6,525,123 19,575,370 9,787,685 29,363,056 14,681,528 7,340,764 3,670,382 1,835,191 5,505,574 2,752,787 8,258,362 4,129,181 12,387,544 6,193,772 3,096,886 1,548,443 4,645,330 2,322,665 6,967,996 3,483,998 1,741,999 5,225,998 2,612,999 7,838,998 3,919,499 11,758,498 5,879,249 17,637,748 8,818,874 4,409,437 13,228,312 6,614,156 3,307,078 1,653,539 4,960,618 2,480,309 7,440,928 3,720,464 1,860,232 930,116 465,058 232,529 697,588 348,794 174,397 523,192 261,596 130,798 65,399 196,198 98,099 294,298 147,149 441,448 220,724 110,362 55,181 165,544 82,772 41,386

More profiles

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