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Atlas › Integer Profiles › Node 2,789,752

2,789,752

23 × 7 × 31 × 1607
Abundant Even Composite

2,789,752 factors as 2^3 × 7 × 31 × 1607. Its 32 positive divisors give a proper-divisor sum of 3,384,968, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 1607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,174,720
Proper Divisor Sum 3,384,968
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2789747 ← → #2789767

Radix Representation

Decimal 2789752
Binary 1010101001000101111000 (22 bits)
Octal 0o12510570
Hexadecimal 0x2A9178

Divisor Catalog (32)

1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1,607 1,736 3,214 6,428 11,249 12,856 22,498 44,996 49,817 89,992 99,634 199,268 348,719 398,536 697,438 1,394,876 2,789,752

Collatz Trajectory (200 steps to reach 1)

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

2,789,752 1,394,876 697,438 348,719 1,046,158 523,079 1,569,238 784,619 2,353,858 1,176,929 3,530,788 1,765,394 882,697 2,648,092 1,324,046 662,023 1,986,070 993,035 2,979,106 1,489,553 4,468,660 2,234,330 1,117,165 3,351,496 1,675,748 837,874 418,937 1,256,812 628,406 314,203 942,610 471,305 1,413,916 706,958 353,479 1,060,438 530,219 1,590,658 795,329 2,385,988 1,192,994 596,497 1,789,492 894,746 447,373 1,342,120 671,060 335,530 167,765 503,296 251,648 125,824 62,912 31,456 15,728 7,864 3,932 1,966 983 2,950

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