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Atlas › Integer Profiles › Node 7,766,748

7,766,748

22 × 32 × 112 × 1783
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11^2 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 21,591,752
Proper Divisor Sum 13,825,004
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7766743 ← → #7766749

Radix Representation

Decimal 7766748
Binary 11101101000001011011100 (23 bits)
Octal 0o35501334
Hexadecimal 0x7682DC

Divisor Catalog (54)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1,089 1,452 1,783 2,178 3,566 4,356 5,349 7,132 10,698 16,047 19,613 21,396 32,094 39,226 58,839 64,188 78,452 117,678 176,517 215,743 235,356 353,034 431,486 647,229 706,068 862,972 1,294,458 1,941,687 2,588,916 3,883,374 7,766,748

Collatz Trajectory (204 steps to reach 1)

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

7,766,748 3,883,374 1,941,687 5,825,062 2,912,531 8,737,594 4,368,797 13,106,392 6,553,196 3,276,598 1,638,299 4,914,898 2,457,449 7,372,348 3,686,174 1,843,087 5,529,262 2,764,631 8,293,894 4,146,947 12,440,842 6,220,421 18,661,264 9,330,632 4,665,316 2,332,658 1,166,329 3,498,988 1,749,494 874,747 2,624,242 1,312,121 3,936,364 1,968,182 984,091 2,952,274 1,476,137 4,428,412 2,214,206 1,107,103 3,321,310 1,660,655 4,981,966 2,490,983 7,472,950 3,736,475 11,209,426 5,604,713 16,814,140 8,407,070 4,203,535 12,610,606 6,305,303 18,915,910 9,457,955 28,373,866 14,186,933 42,560,800 21,280,400 10,640,200

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