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Atlas › Integer Profiles › Node 2,839,596

2,839,596

22 × 3 × 83 × 2851
Abundant Even Composite

2,839,596 factors as 2^2 × 3 × 83 × 2851. Its 24 positive divisors give a proper-divisor sum of 3,868,308, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 83 × 2851
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,707,904
Proper Divisor Sum 3,868,308
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2839589 ← → #2839601

Radix Representation

Decimal 2839596
Binary 1010110101010000101100 (22 bits)
Octal 0o12652054
Hexadecimal 0x2B542C

Divisor Catalog (24)

1 2 3 4 6 12 83 166 249 332 498 996 2,851 5,702 8,553 11,404 17,106 34,212 236,633 473,266 709,899 946,532 1,419,798 2,839,596

Collatz Trajectory (107 steps to reach 1)

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

2,839,596 1,419,798 709,899 2,129,698 1,064,849 3,194,548 1,597,274 798,637 2,395,912 1,197,956 598,978 299,489 898,468 449,234 224,617 673,852 336,926 168,463 505,390 252,695 758,086 379,043 1,137,130 568,565 1,705,696 852,848 426,424 213,212 106,606 53,303 159,910 79,955 239,866 119,933 359,800 179,900 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845 341,536 170,768 85,384 42,692 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002

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