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Atlas › Integer Profiles › Node 8,091,400

8,091,400

23 × 52 × 23 × 1759
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 23 × 1759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,641,600
Proper Divisor Sum 11,550,200
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8091367 ← → #8091409

Radix Representation

Decimal 8091400
Binary 11110110111011100001000 (23 bits)
Octal 0o36673410
Hexadecimal 0x7B7708

Divisor Catalog (48)

1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1,150 1,759 2,300 3,518 4,600 7,036 8,795 14,072 17,590 35,180 40,457 43,975 70,360 80,914 87,950 161,828 175,900 202,285 323,656 351,800 404,570 809,140 1,011,425 1,618,280 2,022,850 4,045,700 8,091,400

Collatz Trajectory (111 steps to reach 1)

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

8,091,400 4,045,700 2,022,850 1,011,425 3,034,276 1,517,138 758,569 2,275,708 1,137,854 568,927 1,706,782 853,391 2,560,174 1,280,087 3,840,262 1,920,131 5,760,394 2,880,197 8,640,592 4,320,296 2,160,148 1,080,074 540,037 1,620,112 810,056 405,028 202,514 101,257 303,772 151,886 75,943 227,830 113,915 341,746 170,873 512,620 256,310 128,155 384,466 192,233 576,700 288,350 144,175 432,526 216,263 648,790 324,395 973,186 486,593 1,459,780 729,890 364,945 1,094,836 547,418 273,709 821,128 410,564 205,282 102,641 307,924

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