λ
Zalai Atlas

2,984,178

2 × 3 × 19 × 26177
Abundant Even Composite

2,984,178 has the prime decomposition 2 × 3 × 19 × 26177. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 26177
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,282,720
Proper Divisor Sum 3,298,542
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2984143 ← → #2984183

Radix Representation

Decimal 2984178
Binary 1011011000100011110010 (22 bits)
Octal 0o13304362
Hexadecimal 0x2D88F2

Divisor Catalog (16)

1 2 3 6 19 38 57 114 26,177 52,354 78,531 157,062 497,363 994,726 1,492,089 2,984,178

Collatz Trajectory (164 steps to reach 1)

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

2,984,178 1,492,089 4,476,268 2,238,134 1,119,067 3,357,202 1,678,601 5,035,804 2,517,902 1,258,951 3,776,854 1,888,427 5,665,282 2,832,641 8,497,924 4,248,962 2,124,481 6,373,444 3,186,722 1,593,361 4,780,084 2,390,042 1,195,021 3,585,064 1,792,532 896,266 448,133 1,344,400 672,200 336,100 168,050 84,025 252,076 126,038 63,019 189,058 94,529 283,588 141,794 70,897 212,692 106,346 53,173 159,520 79,760 39,880 19,940 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934

More profiles

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