λ
Prime Ledger

8,282,382

2 × 3 × 1380397
Abundant Even Composite

8,282,382 has the prime decomposition 2 × 3 × 1380397. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1380397
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,564,776
Proper Divisor Sum 8,282,394
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8282377 ← → #8282401

Radix Representation

Decimal 8282382
Binary 11111100110000100001110 (23 bits)
Octal 0o37460416
Hexadecimal 0x7E610E

Divisor Catalog (8)

1 2 3 6 1,380,397 2,760,794 4,141,191 8,282,382

Collatz Trajectory (137 steps to reach 1)

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

8,282,382 4,141,191 12,423,574 6,211,787 18,635,362 9,317,681 27,953,044 13,976,522 6,988,261 20,964,784 10,482,392 5,241,196 2,620,598 1,310,299 3,930,898 1,965,449 5,896,348 2,948,174 1,474,087 4,422,262 2,211,131 6,633,394 3,316,697 9,950,092 4,975,046 2,487,523 7,462,570 3,731,285 11,193,856 5,596,928 2,798,464 1,399,232 699,616 349,808 174,904 87,452 43,726 21,863 65,590 32,795 98,386 49,193 147,580 73,790 36,895 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202

More profiles

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