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Atlas › Integer Profiles › Node 8,093,470

8,093,470

2 × 5 × 7 × 11 × 23 × 457
Abundant Even Composite

8,093,470 factors as 2 × 5 × 7 × 11 × 23 × 457. Its 64 positive divisors give a proper-divisor sum of 10,900,706, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 23 × 457
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 18,994,176
Proper Divisor Sum 10,900,706
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8093429 ← → #8093473

Radix Representation

Decimal 8093470
Binary 11110110111111100011110 (23 bits)
Octal 0o36677436
Hexadecimal 0x7B7F1E

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 23 35 46 55 70 77 110 115 154 161 230 253 322 385 457 506 770 805 914 1,265 1,610 1,771 2,285 2,530 3,199 3,542 4,570 5,027 6,398 8,855 10,054 10,511 15,995 17,710 21,022 25,135 31,990 35,189 50,270 52,555 70,378 73,577 105,110 115,621 147,154 175,945 231,242 351,890 367,885 578,105 735,770 809,347

Collatz Trajectory (93 steps to reach 1)

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

8,093,470 4,046,735 12,140,206 6,070,103 18,210,310 9,105,155 27,315,466 13,657,733 40,973,200 20,486,600 10,243,300 5,121,650 2,560,825 7,682,476 3,841,238 1,920,619 5,761,858 2,880,929 8,642,788 4,321,394 2,160,697 6,482,092 3,241,046 1,620,523 4,861,570 2,430,785 7,292,356 3,646,178 1,823,089 5,469,268 2,734,634 1,367,317 4,101,952 2,050,976 1,025,488 512,744 256,372 128,186 64,093 192,280 96,140 48,070 24,035 72,106 36,053 108,160 54,080 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238

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