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Atlas › Integer Profiles › Node 48,062,880

48,062,880

25 × 32 × 5 × 33377
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 33377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 164,019,492
Proper Divisor Sum 115,956,612
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #48062879 ← → #48062887

Radix Representation

Decimal 48062880
Binary 10110111010110000110100000 (26 bits)
Octal 0o267260640
Hexadecimal 0x2DD61A0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1,440 33,377 66,754 100,131 133,508 166,885 200,262 267,016 300,393 333,770 400,524 500,655 534,032 600,786 667,540 801,048 1,001,310 1,068,064 1,201,572 1,335,080 1,501,965 1,602,096 2,002,620 2,403,144 2,670,160

Collatz Trajectory (142 steps to reach 1)

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

48,062,880 24,031,440 12,015,720 6,007,860 3,003,930 1,501,965 4,505,896 2,252,948 1,126,474 563,237 1,689,712 844,856 422,428 211,214 105,607 316,822 158,411 475,234 237,617 712,852 356,426 178,213 534,640 267,320 133,660 66,830 33,415 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

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