λ
Modular Archive

3,978,008

23 × 347 × 1433
Deficient Even Composite

The decimal integer 3,978,008 is 1111001011001100011000 in binary (22 bits), 17131430 in octal and 3CB318 in hexadecimal. Its digit sum is 35.

Prime Factor Structure

Factorization String 2^3 × 347 × 1433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,485,480
Proper Divisor Sum 3,507,472
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3977999 ← → #3978031

Radix Representation

Decimal 3978008
Binary 1111001011001100011000 (22 bits)
Octal 0o17131430
Hexadecimal 0x3CB318

Divisor Catalog (16)

1 2 4 8 347 694 1,388 1,433 2,776 2,866 5,732 11,464 497,251 994,502 1,989,004 3,978,008

Collatz Trajectory (66 steps to reach 1)

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

3,978,008 1,989,004 994,502 497,251 1,491,754 745,877 2,237,632 1,118,816 559,408 279,704 139,852 69,926 34,963 104,890 52,445 157,336 78,668 39,334 19,667 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20

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