λ
Sigma Notebook

6,526,380

22 × 3 × 5 × 7 × 41 × 379
Abundant Even Composite

6,526,380 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 7 × 41 × 379 and its 96 divisors sum to 21,450,240.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 41 × 379
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 21,450,240
Proper Divisor Sum 14,923,860
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6526379 ← → #6526409

Radix Representation

Decimal 6526380
Binary 11000111001010110101100 (23 bits)
Octal 0o30712654
Hexadecimal 0x6395AC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 379 410 420 492 574 615 758 820 861 1,137 1,148 1,230 1,435 1,516 1,722 1,895 2,274 2,460 2,653 2,870 3,444 3,790 4,305 4,548 5,306 5,685 5,740 7,580 7,959 8,610

Collatz Trajectory (90 steps to reach 1)

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

6,526,380 3,263,190 1,631,595 4,894,786 2,447,393 7,342,180 3,671,090 1,835,545 5,506,636 2,753,318 1,376,659 4,129,978 2,064,989 6,194,968 3,097,484 1,548,742 774,371 2,323,114 1,161,557 3,484,672 1,742,336 871,168 435,584 217,792 108,896 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

More profiles

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