λ
Prime Ledger

8,321,442

2 × 3 × 41 × 33827
Abundant Even Composite

8,321,442 has the prime decomposition 2 × 3 × 41 × 33827. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 33827
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,049,312
Proper Divisor Sum 8,727,870
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8321429 ← → #8321503

Radix Representation

Decimal 8321442
Binary 11111101111100110100010 (23 bits)
Octal 0o37574642
Hexadecimal 0x7EF9A2

Divisor Catalog (16)

1 2 3 6 41 82 123 246 33,827 67,654 101,481 202,962 1,386,907 2,773,814 4,160,721 8,321,442

Collatz Trajectory (349 steps to reach 1)

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

8,321,442 4,160,721 12,482,164 6,241,082 3,120,541 9,361,624 4,680,812 2,340,406 1,170,203 3,510,610 1,755,305 5,265,916 2,632,958 1,316,479 3,949,438 1,974,719 5,924,158 2,962,079 8,886,238 4,443,119 13,329,358 6,664,679 19,994,038 9,997,019 29,991,058 14,995,529 44,986,588 22,493,294 11,246,647 33,739,942 16,869,971 50,609,914 25,304,957 75,914,872 37,957,436 18,978,718 9,489,359 28,468,078 14,234,039 42,702,118 21,351,059 64,053,178 32,026,589 96,079,768 48,039,884 24,019,942 12,009,971 36,029,914 18,014,957 54,044,872 27,022,436 13,511,218 6,755,609 20,266,828 10,133,414 5,066,707 15,200,122 7,600,061 22,800,184 11,400,092

More profiles

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