λ
Modular Archive

742,852

22 × 11 × 16883
Deficient Even Composite

The decimal integer 742,852 is 10110101010111000100 in binary (20 bits), 2652704 in octal and B55C4 in hexadecimal. Its digit sum is 28.

Prime Factor Structure

Factorization String 2^2 × 11 × 16883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,418,256
Proper Divisor Sum 675,404
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #742817 ← → #742891

Radix Representation

Decimal 742852
Binary 10110101010111000100 (20 bits)
Octal 0o2652704
Hexadecimal 0xB55C4

Divisor Catalog (12)

1 2 4 11 22 44 16,883 33,766 67,532 185,713 371,426 742,852

Collatz Trajectory (180 steps to reach 1)

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

742,852 371,426 185,713 557,140 278,570 139,285 417,856 208,928 104,464 52,232 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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