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Atlas › Integer Profiles › Node 2,302,182

2,302,182

2 × 36 × 1579
Abundant Even Composite

2,302,182 factors as 2 × 3^6 × 1579. Its 28 positive divisors give a proper-divisor sum of 2,878,638, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 1579
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 5,180,820
Proper Divisor Sum 2,878,638
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2302169 ← → #2302217

Radix Representation

Decimal 2302182
Binary 1000110010000011100110 (22 bits)
Octal 0o10620346
Hexadecimal 0x2320E6

Divisor Catalog (28)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 1,579 3,158 4,737 9,474 14,211 28,422 42,633 85,266 127,899 255,798 383,697 767,394 1,151,091 2,302,182

Collatz Trajectory (223 steps to reach 1)

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

2,302,182 1,151,091 3,453,274 1,726,637 5,179,912 2,589,956 1,294,978 647,489 1,942,468 971,234 485,617 1,456,852 728,426 364,213 1,092,640 546,320 273,160 136,580 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606

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