λ
Modular Archive

3,713,732

22 × 112 × 7673
Deficient Even Composite

The decimal integer 3,713,732 is 1110001010101011000100 in binary (22 bits), 16125304 in octal and 38AAC4 in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 7673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 7,144,494
Proper Divisor Sum 3,430,762
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3713681 ← → #3713737

Radix Representation

Decimal 3713732
Binary 1110001010101011000100 (22 bits)
Octal 0o16125304
Hexadecimal 0x38AAC4

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 7,673 15,346 30,692 84,403 168,806 337,612 928,433 1,856,866 3,713,732

Collatz Trajectory (172 steps to reach 1)

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

3,713,732 1,856,866 928,433 2,785,300 1,392,650 696,325 2,088,976 1,044,488 522,244 261,122 130,561 391,684 195,842 97,921 293,764 146,882 73,441 220,324 110,162 55,081 165,244 82,622 41,311 123,934 61,967 185,902 92,951 278,854 139,427 418,282 209,141 627,424 313,712 156,856 78,428 39,214 19,607 58,822 29,411 88,234 44,117 132,352 66,176 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110

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