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Atlas › Integer Profiles › Node 48,062,896

48,062,896

24 × 7 × 31 × 109 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 31 × 109 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 111,738,880
Proper Divisor Sum 63,675,984
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48062887 ← → #48062897

Radix Representation

Decimal 48062896
Binary 10110111010110000110110000 (26 bits)
Octal 0o267260660
Hexadecimal 0x2DD61B0

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 28 31 56 62 109 112 124 127 217 218 248 254 434 436 496 508 763 868 872 889 1,016 1,526 1,736 1,744 1,778 2,032 3,052 3,379 3,472 3,556 3,937 6,104 6,758 7,112 7,874 12,208 13,516 13,843 14,224 15,748 23,653 27,032 27,559 27,686 31,496 47,306 54,064 55,118 55,372 62,992 94,612 96,901 110,236

Collatz Trajectory (173 steps to reach 1)

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

48,062,896 24,031,448 12,015,724 6,007,862 3,003,931 9,011,794 4,505,897 13,517,692 6,758,846 3,379,423 10,138,270 5,069,135 15,207,406 7,603,703 22,811,110 11,405,555 34,216,666 17,108,333 51,325,000 25,662,500 12,831,250 6,415,625 19,246,876 9,623,438 4,811,719 14,435,158 7,217,579 21,652,738 10,826,369 32,479,108 16,239,554 8,119,777 24,359,332 12,179,666 6,089,833 18,269,500 9,134,750 4,567,375 13,702,126 6,851,063 20,553,190 10,276,595 30,829,786 15,414,893 46,244,680 23,122,340 11,561,170 5,780,585 17,341,756 8,670,878 4,335,439 13,006,318 6,503,159 19,509,478 9,754,739 29,264,218 14,632,109 43,896,328 21,948,164 10,974,082

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