λ
Sigma Notebook

6,550,872

23 × 3 × 499 × 547
Abundant Even Composite

6,550,872 is even and not a perfect square. Its factorization is 2^3 × 3 × 499 × 547 and its 32 divisors sum to 16,440,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 499 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,440,000
Proper Divisor Sum 9,889,128
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6550847 ← → #6550879

Radix Representation

Decimal 6550872
Binary 11000111111010101011000 (23 bits)
Octal 0o30772530
Hexadecimal 0x63F558

Divisor Catalog (32)

1 2 3 4 6 8 12 24 499 547 998 1,094 1,497 1,641 1,996 2,188 2,994 3,282 3,992 4,376 5,988 6,564 11,976 13,128 272,953 545,906 818,859 1,091,812 1,637,718 2,183,624 3,275,436 6,550,872

Collatz Trajectory (147 steps to reach 1)

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

6,550,872 3,275,436 1,637,718 818,859 2,456,578 1,228,289 3,684,868 1,842,434 921,217 2,763,652 1,381,826 690,913 2,072,740 1,036,370 518,185 1,554,556 777,278 388,639 1,165,918 582,959 1,748,878 874,439 2,623,318 1,311,659 3,934,978 1,967,489 5,902,468 2,951,234 1,475,617 4,426,852 2,213,426 1,106,713 3,320,140 1,660,070 830,035 2,490,106 1,245,053 3,735,160 1,867,580 933,790 466,895 1,400,686 700,343 2,101,030 1,050,515 3,151,546 1,575,773 4,727,320 2,363,660 1,181,830 590,915 1,772,746 886,373 2,659,120 1,329,560 664,780 332,390 166,195 498,586 249,293

More profiles

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