λ
Modular Archive

442,792

23 × 7 × 7907
Abundant Even Composite

The decimal integer 442,792 is 1101100000110101000 in binary (19 bits), 1540650 in octal and 6C1A8 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 2^3 × 7 × 7907
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 948,960
Proper Divisor Sum 506,168
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #442789 ← → #442807

Radix Representation

Decimal 442792
Binary 1101100000110101000 (19 bits)
Octal 0o1540650
Hexadecimal 0x6C1A8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 7,907 15,814 31,628 55,349 63,256 110,698 221,396 442,792

Collatz Trajectory (112 steps to reach 1)

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

442,792 221,396 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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