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Atlas › Integer Profiles › Node 2,933,744

2,933,744

24 × 11 × 79 × 211
Abundant Even Composite

2,933,744 factors as 2^4 × 11 × 79 × 211. Its 40 positive divisors give a proper-divisor sum of 3,375,376, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 79 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,309,120
Proper Divisor Sum 3,375,376
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2933743 ← → #2933753

Radix Representation

Decimal 2933744
Binary 1011001100001111110000 (22 bits)
Octal 0o13141760
Hexadecimal 0x2CC3F0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 79 88 158 176 211 316 422 632 844 869 1,264 1,688 1,738 2,321 3,376 3,476 4,642 6,952 9,284 13,904 16,669 18,568 33,338 37,136 66,676 133,352 183,359 266,704 366,718 733,436 1,466,872 2,933,744

Collatz Trajectory (182 steps to reach 1)

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

2,933,744 1,466,872 733,436 366,718 183,359 550,078 275,039 825,118 412,559 1,237,678 618,839 1,856,518 928,259 2,784,778 1,392,389 4,177,168 2,088,584 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104

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