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Atlas › Integer Profiles › Node 8,540,415

8,540,415

32 × 5 × 132 × 1123
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 13^2 × 1123
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,043,976
Proper Divisor Sum 7,503,561
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8540401 ← → #8540431

Radix Representation

Decimal 8540415
Binary 100000100101000011111111 (24 bits)
Octal 0o40450377
Hexadecimal 0x8250FF

Divisor Catalog (36)

1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1,123 1,521 2,535 3,369 5,615 7,605 10,107 14,599 16,845 43,797 50,535 72,995 131,391 189,787 218,985 569,361 656,955 948,935 1,708,083 2,846,805 8,540,415

Collatz Trajectory (212 steps to reach 1)

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

8,540,415 25,621,246 12,810,623 38,431,870 19,215,935 57,647,806 28,823,903 86,471,710 43,235,855 129,707,566 64,853,783 194,561,350 97,280,675 291,842,026 145,921,013 437,763,040 218,881,520 109,440,760 54,720,380 27,360,190 13,680,095 41,040,286 20,520,143 61,560,430 30,780,215 92,340,646 46,170,323 138,510,970 69,255,485 207,766,456 103,883,228 51,941,614 25,970,807 77,912,422 38,956,211 116,868,634 58,434,317 175,302,952 87,651,476 43,825,738 21,912,869 65,738,608 32,869,304 16,434,652 8,217,326 4,108,663 12,325,990 6,162,995 18,488,986 9,244,493 27,733,480 13,866,740 6,933,370 3,466,685 10,400,056 5,200,028 2,600,014 1,300,007 3,900,022 1,950,011

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