λ
Modular Archive

3,046,340

22 × 5 × 11 × 61 × 227
Abundant Even Composite

The decimal integer 3,046,340 is 1011100111101111000100 in binary (22 bits), 13475704 in octal and 2E7BC4 in hexadecimal. Its digit sum is 20.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 61 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,124,544
Proper Divisor Sum 4,078,204
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3046333 ← → #3046343

Radix Representation

Decimal 3046340
Binary 1011100111101111000100 (22 bits)
Octal 0o13475704
Hexadecimal 0x2E7BC4

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 61 110 122 220 227 244 305 454 610 671 908 1,135 1,220 1,342 2,270 2,497 2,684 3,355 4,540 4,994 6,710 9,988 12,485 13,420 13,847 24,970 27,694 49,940 55,388 69,235 138,470 152,317 276,940 304,634 609,268 761,585 1,523,170 3,046,340

Collatz Trajectory (151 steps to reach 1)

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

3,046,340 1,523,170 761,585 2,284,756 1,142,378 571,189 1,713,568 856,784 428,392 214,196 107,098 53,549 160,648 80,324 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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