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Atlas › Integer Profiles › Node 4,043,370

4,043,370

2 × 3 × 5 × 53 × 2543
Abundant Even Composite

4,043,370 factors as 2 × 3 × 5 × 53 × 2543. Its 32 positive divisors give a proper-divisor sum of 5,847,702, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 53 × 2543
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,891,072
Proper Divisor Sum 5,847,702
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4043357 ← → #4043387

Radix Representation

Decimal 4043370
Binary 1111011011001001101010 (22 bits)
Octal 0o17331152
Hexadecimal 0x3DB26A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1,590 2,543 5,086 7,629 12,715 15,258 25,430 38,145 76,290 134,779 269,558 404,337 673,895 808,674 1,347,790 2,021,685 4,043,370

Collatz Trajectory (84 steps to reach 1)

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

4,043,370 2,021,685 6,065,056 3,032,528 1,516,264 758,132 379,066 189,533 568,600 284,300 142,150 71,075 213,226 106,613 319,840 159,920 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713

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