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Atlas › Integer Profiles › Node 4,199,856

4,199,856

24 × 3 × 59 × 1483
Abundant Even Composite

4,199,856 factors as 2^4 × 3 × 59 × 1483. Its 40 positive divisors give a proper-divisor sum of 6,841,104, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 59 × 1483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,040,960
Proper Divisor Sum 6,841,104
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4199851 ← → #4199861

Radix Representation

Decimal 4199856
Binary 10000000001010110110000 (23 bits)
Octal 0o20012660
Hexadecimal 0x4015B0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1,416 1,483 2,832 2,966 4,449 5,932 8,898 11,864 17,796 23,728 35,592 71,184 87,497 174,994 262,491 349,988 524,982 699,976 1,049,964 1,399,952 2,099,928 4,199,856

Collatz Trajectory (105 steps to reach 1)

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

4,199,856 2,099,928 1,049,964 524,982 262,491 787,474 393,737 1,181,212 590,606 295,303 885,910 442,955 1,328,866 664,433 1,993,300 996,650 498,325 1,494,976 747,488 373,744 186,872 93,436 46,718 23,359 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389 532,168 266,084 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742

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