λ
Harmonic Matrix

3,768,488

23 × 471061
Deficient Even Composite

3,768,488 has digital root 8. The neighboring primes are 3768473 and 3768493; its proper-divisor sum differs from the starting integer by -471,046.

Prime Factor Structure

Factorization String 2^3 × 471061
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,065,930
Proper Divisor Sum 3,297,442
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3768473 ← → #3768493

Radix Representation

Decimal 3768488
Binary 1110011000000010101000 (22 bits)
Octal 0o16300250
Hexadecimal 0x3980A8

Divisor Catalog (8)

1 2 4 8 471,061 942,122 1,884,244 3,768,488

Collatz Trajectory (172 steps to reach 1)

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

3,768,488 1,884,244 942,122 471,061 1,413,184 706,592 353,296 176,648 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 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 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

More profiles

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