5,743,788

2² × 3 × 653 × 733

5,743,788 factors as 2^2 × 3 × 653 × 733. Its 24 positive divisors give a proper-divisor sum of 7,697,220, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 653 × 733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,441,008

Proper Divisor Sum 7,697,220

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #5743763 ← → #5743789

Radix Representation

Decimal	5743788
Binary	10101111010010010101100 (23 bits)
Octal	0o25722254
Hexadecimal	0x57A4AC

Divisor Catalog (24)

1 2 3 4 6 12 653 733 1,306 1,466 1,959 2,199 2,612 2,932 3,918 4,398 7,836 8,796 478,649 957,298 1,435,947 1,914,596 2,871,894 5,743,788

Collatz Trajectory (214 steps to reach 1)

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

5,743,788 2,871,894 1,435,947 4,307,842 2,153,921 6,461,764 3,230,882 1,615,441 4,846,324 2,423,162 1,211,581 3,634,744 1,817,372 908,686 454,343 1,363,030 681,515 2,044,546 1,022,273 3,066,820 1,533,410 766,705 2,300,116 1,150,058 575,029 1,725,088 862,544 431,272 215,636 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449

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