λ
Modular Archive

2,401,728

26 × 3 × 7 × 1787
Abundant Even Composite

The decimal integer 2,401,728 is 1001001010010111000000 in binary (22 bits), 11122700 in octal and 24A5C0 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 1787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,266,432
Proper Divisor Sum 4,864,704
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2401727 ← → #2401741

Radix Representation

Decimal 2401728
Binary 1001001010010111000000 (22 bits)
Octal 0o11122700
Hexadecimal 0x24A5C0

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1,344 1,787 3,574 5,361 7,148 10,722 12,509 14,296 21,444 25,018 28,592 37,527 42,888 50,036 57,184 75,054 85,776 100,072 114,368 150,108 171,552 200,144 300,216 343,104 400,288 600,432 800,576 1,200,864 2,401,728

Collatz Trajectory (161 steps to reach 1)

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

2,401,728 1,200,864 600,432 300,216 150,108 75,054 37,527 112,582 56,291 168,874 84,437 253,312 126,656 63,328 31,664 15,832 7,916 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

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