λ
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Atlas › Integer Profiles › Node 4,043,776

4,043,776

210 × 11 × 359
Abundant Even Composite

4,043,776 factors as 2^10 × 11 × 359. Its 44 positive divisors give a proper-divisor sum of 4,799,264, so this integer is abundant. The Collatz stopping time is 48 steps.

Prime Factor Structure

Factorization String 2^10 × 11 × 359
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 44
Divisor Sum (σ) 8,843,040
Proper Divisor Sum 4,799,264
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4043771 ← → #4043777

Radix Representation

Decimal 4043776
Binary 1111011011010000000000 (22 bits)
Octal 0o17332000
Hexadecimal 0x3DB400

Divisor Catalog (44)

1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 359 512 704 718 1,024 1,408 1,436 2,816 2,872 3,949 5,632 5,744 7,898 11,264 11,488 15,796 22,976 31,592 45,952 63,184 91,904 126,368 183,808 252,736 367,616 505,472 1,010,944 2,021,888 4,043,776

Collatz Trajectory (48 steps to reach 1)

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

4,043,776 2,021,888 1,010,944 505,472 252,736 126,368 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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