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Atlas › Integer Profiles › Node 48,754,760

48,754,760

23 × 5 × 19 × 64151
Abundant Even Composite

48,754,760 factors as 2^3 × 5 × 19 × 64151. Its 32 positive divisors give a proper-divisor sum of 66,718,840, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 64151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,473,600
Proper Divisor Sum 66,718,840
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #48754757 ← → #48754763

Radix Representation

Decimal 48754760
Binary 10111001111111000001001000 (26 bits)
Octal 0o271770110
Hexadecimal 0x2E7F048

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 64,151 128,302 256,604 320,755 513,208 641,510 1,218,869 1,283,020 2,437,738 2,566,040 4,875,476 6,094,345 9,750,952 12,188,690 24,377,380 48,754,760

Collatz Trajectory (93 steps to reach 1)

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

48,754,760 24,377,380 12,188,690 6,094,345 18,283,036 9,141,518 4,570,759 13,712,278 6,856,139 20,568,418 10,284,209 30,852,628 15,426,314 7,713,157 23,139,472 11,569,736 5,784,868 2,892,434 1,446,217 4,338,652 2,169,326 1,084,663 3,253,990 1,626,995 4,880,986 2,440,493 7,321,480 3,660,740 1,830,370 915,185 2,745,556 1,372,778 686,389 2,059,168 1,029,584 514,792 257,396 128,698 64,349 193,048 96,524 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432

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