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Atlas › Integer Profiles › Node 8,302,950

8,302,950

2 × 32 × 52 × 18451
Abundant Even Composite

8,302,950 factors as 2 × 3^2 × 5^2 × 18451. Its 36 positive divisors give a proper-divisor sum of 14,005,518, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 18451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,308,468
Proper Divisor Sum 14,005,518
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8302949 ← → #8302963

Radix Representation

Decimal 8302950
Binary 11111101011000101100110 (23 bits)
Octal 0o37530546
Hexadecimal 0x7EB166

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 18,451 36,902 55,353 92,255 110,706 166,059 184,510 276,765 332,118 461,275 553,530 830,295 922,550 1,383,825 1,660,590 2,767,650 4,151,475 8,302,950

Collatz Trajectory (230 steps to reach 1)

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

8,302,950 4,151,475 12,454,426 6,227,213 18,681,640 9,340,820 4,670,410 2,335,205 7,005,616 3,502,808 1,751,404 875,702 437,851 1,313,554 656,777 1,970,332 985,166 492,583 1,477,750 738,875 2,216,626 1,108,313 3,324,940 1,662,470 831,235 2,493,706 1,246,853 3,740,560 1,870,280 935,140 467,570 233,785 701,356 350,678 175,339 526,018 263,009 789,028 394,514 197,257 591,772 295,886 147,943 443,830 221,915 665,746 332,873 998,620 499,310 249,655 748,966 374,483 1,123,450 561,725 1,685,176 842,588 421,294 210,647 631,942 315,971

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