λ
Modular Archive

442,736

24 × 7 × 59 × 67
Abundant Even Composite

The decimal integer 442,736 is 1101100000101110000 in binary (19 bits), 1540560 in octal and 6C170 in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 2^4 × 7 × 59 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 1,011,840
Proper Divisor Sum 569,104
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #442733 ← → #442747

Radix Representation

Decimal 442736
Binary 1101100000101110000 (19 bits)
Octal 0o1540560
Hexadecimal 0x6C170

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 59 67 112 118 134 236 268 413 469 472 536 826 938 944 1,072 1,652 1,876 3,304 3,752 3,953 6,608 7,504 7,906 15,812 27,671 31,624 55,342 63,248 110,684 221,368 442,736

Collatz Trajectory (50 steps to reach 1)

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

442,736 221,368 110,684 55,342 27,671 83,014 41,507 124,522 62,261 186,784 93,392 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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