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Atlas › Integer Profiles › Node 10,078,820

10,078,820

22 × 5 × 79 × 6379
Abundant Even Composite

10,078,820 factors as 2^2 × 5 × 79 × 6379. Its 24 positive divisors give a proper-divisor sum of 11,357,980, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 79 × 6379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,436,800
Proper Divisor Sum 11,357,980
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #10078819 ← → #10078823

Radix Representation

Decimal 10078820
Binary 100110011100101001100100 (24 bits)
Octal 0o46345144
Hexadecimal 0x99CA64

Divisor Catalog (24)

1 2 4 5 10 20 79 158 316 395 790 1,580 6,379 12,758 25,516 31,895 63,790 127,580 503,941 1,007,882 2,015,764 2,519,705 5,039,410 10,078,820

Collatz Trajectory (114 steps to reach 1)

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

10,078,820 5,039,410 2,519,705 7,559,116 3,779,558 1,889,779 5,669,338 2,834,669 8,504,008 4,252,004 2,126,002 1,063,001 3,189,004 1,594,502 797,251 2,391,754 1,195,877 3,587,632 1,793,816 896,908 448,454 224,227 672,682 336,341 1,009,024 504,512 252,256 126,128 63,064 31,532 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970

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