5,744,600

2³ × 5² × 28723

5,744,600 factors as 2^3 × 5^2 × 28723. Its 24 positive divisors give a proper-divisor sum of 7,612,060, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 28723

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,356,660

Proper Divisor Sum 7,612,060

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5744597 ← → #5744603

Radix Representation

Decimal	5744600
Binary	10101111010011111011000 (23 bits)
Octal	0o25723730
Hexadecimal	0x57A7D8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 28,723 57,446 114,892 143,615 229,784 287,230 574,460 718,075 1,148,920 1,436,150 2,872,300 5,744,600

Collatz Trajectory (232 steps to reach 1)

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

5,744,600 2,872,300 1,436,150 718,075 2,154,226 1,077,113 3,231,340 1,615,670 807,835 2,423,506 1,211,753 3,635,260 1,817,630 908,815 2,726,446 1,363,223 4,089,670 2,044,835 6,134,506 3,067,253 9,201,760 4,600,880 2,300,440 1,150,220 575,110 287,555 862,666 431,333 1,294,000 647,000 323,500 161,750 80,875 242,626 121,313 363,940 181,970 90,985 272,956 136,478 68,239 204,718 102,359 307,078 153,539 460,618 230,309 690,928 345,464 172,732 86,366 43,183 129,550 64,775 194,326 97,163 291,490 145,745 437,236 218,618

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