8,440,821

3³ × 312623

8,440,821 has the prime decomposition 3^3 × 312623. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 312623

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,504,960

Proper Divisor Sum 4,064,139

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8440819 ← → #8440841

Radix Representation

Decimal	8440821
Binary	100000001100101111110101 (24 bits)
Octal	0o40145765
Hexadecimal	0x80CBF5

Divisor Catalog (8)

1 3 9 27 312,623 937,869 2,813,607 8,440,821

Collatz Trajectory (181 steps to reach 1)

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

8,440,821 25,322,464 12,661,232 6,330,616 3,165,308 1,582,654 791,327 2,373,982 1,186,991 3,560,974 1,780,487 5,341,462 2,670,731 8,012,194 4,006,097 12,018,292 6,009,146 3,004,573 9,013,720 4,506,860 2,253,430 1,126,715 3,380,146 1,690,073 5,070,220 2,535,110 1,267,555 3,802,666 1,901,333 5,704,000 2,852,000 1,426,000 713,000 356,500 178,250 89,125 267,376 133,688 66,844 33,422 16,711 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244

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