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Atlas › Integer Profiles › Node 15,106,064

15,106,064

24 × 17 × 19 × 37 × 79
Abundant Even Composite

15,106,064 factors as 2^4 × 17 × 19 × 37 × 79. Its 80 positive divisors give a proper-divisor sum of 18,820,336, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 19 × 37 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 33,926,400
Proper Divisor Sum 18,820,336
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #15106061 ← → #15106073

Radix Representation

Decimal 15106064
Binary 111001101000000000010000 (24 bits)
Octal 0o71500020
Hexadecimal 0xE68010

Divisor Catalog (60 of 80)

1 2 4 8 16 17 19 34 37 38 68 74 76 79 136 148 152 158 272 296 304 316 323 592 629 632 646 703 1,258 1,264 1,292 1,343 1,406 1,501 2,516 2,584 2,686 2,812 2,923 3,002 5,032 5,168 5,372 5,624 5,846 6,004 10,064 10,744 11,248 11,692 11,951 12,008 21,488 23,384 23,902 24,016 25,517 46,768 47,804 49,691

Collatz Trajectory (112 steps to reach 1)

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

15,106,064 7,553,032 3,776,516 1,888,258 944,129 2,832,388 1,416,194 708,097 2,124,292 1,062,146 531,073 1,593,220 796,610 398,305 1,194,916 597,458 298,729 896,188 448,094 224,047 672,142 336,071 1,008,214 504,107 1,512,322 756,161 2,268,484 1,134,242 567,121 1,701,364 850,682 425,341 1,276,024 638,012 319,006 159,503 478,510 239,255 717,766 358,883 1,076,650 538,325 1,614,976 807,488 403,744 201,872 100,936 50,468 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970

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