λ
Sigma Notebook

8,220,648

23 × 3 × 342527
Abundant Even Composite

8,220,648 is even and not a perfect square. Its factorization is 2^3 × 3 × 342527 and its 16 divisors sum to 20,551,680.

Prime Factor Structure

Factorization String 2^3 × 3 × 342527
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,551,680
Proper Divisor Sum 12,331,032
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8220631 ← → #8220649

Radix Representation

Decimal 8220648
Binary 11111010110111111101000 (23 bits)
Octal 0o37267750
Hexadecimal 0x7D6FE8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 342,527 685,054 1,027,581 1,370,108 2,055,162 2,740,216 4,110,324 8,220,648

Collatz Trajectory (111 steps to reach 1)

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

8,220,648 4,110,324 2,055,162 1,027,581 3,082,744 1,541,372 770,686 385,343 1,156,030 578,015 1,734,046 867,023 2,601,070 1,300,535 3,901,606 1,950,803 5,852,410 2,926,205 8,778,616 4,389,308 2,194,654 1,097,327 3,291,982 1,645,991 4,937,974 2,468,987 7,406,962 3,703,481 11,110,444 5,555,222 2,777,611 8,332,834 4,166,417 12,499,252 6,249,626 3,124,813 9,374,440 4,687,220 2,343,610 1,171,805 3,515,416 1,757,708 878,854 439,427 1,318,282 659,141 1,977,424 988,712 494,356 247,178 123,589 370,768 185,384 92,692 46,346 23,173 69,520 34,760 17,380 8,690

More profiles

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