λ
Modular Archive

3,835,704

23 × 3 × 71 × 2251
Abundant Even Composite

The decimal integer 3,835,704 is 1110101000011100111000 in binary (22 bits), 16503470 in octal and 3A8738 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2^3 × 3 × 71 × 2251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,728,640
Proper Divisor Sum 5,892,936
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3835697 ← → #3835747

Radix Representation

Decimal 3835704
Binary 1110101000011100111000 (22 bits)
Octal 0o16503470
Hexadecimal 0x3A8738

Divisor Catalog (32)

1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1,704 2,251 4,502 6,753 9,004 13,506 18,008 27,012 54,024 159,821 319,642 479,463 639,284 958,926 1,278,568 1,917,852 3,835,704

Collatz Trajectory (79 steps to reach 1)

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

3,835,704 1,917,852 958,926 479,463 1,438,390 719,195 2,157,586 1,078,793 3,236,380 1,618,190 809,095 2,427,286 1,213,643 3,640,930 1,820,465 5,461,396 2,730,698 1,365,349 4,096,048 2,048,024 1,024,012 512,006 256,003 768,010 384,005 1,152,016 576,008 288,004 144,002 72,001 216,004 108,002 54,001 162,004 81,002 40,501 121,504 60,752 30,376 15,188 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19

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