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Atlas › Integer Profiles › Node 10,859,632

10,859,632

24 × 7 × 47 × 2063
Abundant Even Composite

10,859,632 factors as 2^4 × 7 × 47 × 2063. Its 40 positive divisors give a proper-divisor sum of 13,710,224, so this integer is abundant. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 2063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,569,856
Proper Divisor Sum 13,710,224
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #10859603 ← → #10859669

Radix Representation

Decimal 10859632
Binary 101001011011010001110000 (24 bits)
Octal 0o51332160
Hexadecimal 0xA5B470

Divisor Catalog (40)

1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1,316 2,063 2,632 4,126 5,264 8,252 14,441 16,504 28,882 33,008 57,764 96,961 115,528 193,922 231,056 387,844 678,727 775,688 1,357,454 1,551,376 2,714,908 5,429,816 10,859,632

Collatz Trajectory (233 steps to reach 1)

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

10,859,632 5,429,816 2,714,908 1,357,454 678,727 2,036,182 1,018,091 3,054,274 1,527,137 4,581,412 2,290,706 1,145,353 3,436,060 1,718,030 859,015 2,577,046 1,288,523 3,865,570 1,932,785 5,798,356 2,899,178 1,449,589 4,348,768 2,174,384 1,087,192 543,596 271,798 135,899 407,698 203,849 611,548 305,774 152,887 458,662 229,331 687,994 343,997 1,031,992 515,996 257,998 128,999 386,998 193,499 580,498 290,249 870,748 435,374 217,687 653,062 326,531 979,594 489,797 1,469,392 734,696 367,348 183,674 91,837 275,512 137,756 68,878

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