8,025,240

2³ × 3 × 5 × 66877

8,025,240 is even and not a perfect square. Its factorization is 2^3 × 3 × 5 × 66877 and its 32 divisors sum to 24,076,080.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 66877

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 24,076,080

Proper Divisor Sum 16,050,840

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8025233 ← → #8025253

Radix Representation

Decimal	8025240
Binary	11110100111010010011000 (23 bits)
Octal	0o36472230
Hexadecimal	0x7A7498

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 66,877 133,754 200,631 267,508 334,385 401,262 535,016 668,770 802,524 1,003,155 1,337,540 1,605,048 2,006,310 2,675,080 4,012,620 8,025,240

Collatz Trajectory (142 steps to reach 1)

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

8,025,240 4,012,620 2,006,310 1,003,155 3,009,466 1,504,733 4,514,200 2,257,100 1,128,550 564,275 1,692,826 846,413 2,539,240 1,269,620 634,810 317,405 952,216 476,108 238,054 119,027 357,082 178,541 535,624 267,812 133,906 66,953 200,860 100,430 50,215 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664 95,332 47,666 23,833 71,500 35,750 17,875 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908

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