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Atlas › Integer Profiles › Node 5,741,364

5,741,364

22 × 3 × 37 × 67 × 193
Abundant Even Composite

5,741,364 factors as 2^2 × 3 × 37 × 67 × 193. Its 48 positive divisors give a proper-divisor sum of 8,294,924, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 67 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,036,288
Proper Divisor Sum 8,294,924
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5741341 ← → #5741369

Radix Representation

Decimal 5741364
Binary 10101111001101100110100 (23 bits)
Octal 0o25715464
Hexadecimal 0x579B34

Divisor Catalog (48)

1 2 3 4 6 12 37 67 74 111 134 148 193 201 222 268 386 402 444 579 772 804 1,158 2,316 2,479 4,958 7,141 7,437 9,916 12,931 14,282 14,874 21,423 25,862 28,564 29,748 38,793 42,846 51,724 77,586 85,692 155,172 478,447 956,894 1,435,341 1,913,788 2,870,682 5,741,364

Collatz Trajectory (77 steps to reach 1)

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

5,741,364 2,870,682 1,435,341 4,306,024 2,153,012 1,076,506 538,253 1,614,760 807,380 403,690 201,845 605,536 302,768 151,384 75,692 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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