λ
Harmonic Matrix

4,044,173

7 × 577739
Deficient Odd Composite

4,044,173 has digital root 5. The neighboring primes are 4044077 and 4044179; its proper-divisor sum differs from the starting integer by -3,466,426.

Prime Factor Structure

Factorization String 7 × 577739
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,621,920
Proper Divisor Sum 577,747
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4044077 ← → #4044179

Radix Representation

Decimal 4044173
Binary 1111011011010110001101 (22 bits)
Octal 0o17332615
Hexadecimal 0x3DB58D

Divisor Catalog (4)

1 7 577,739 4,044,173

Collatz Trajectory (198 steps to reach 1)

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

4,044,173 12,132,520 6,066,260 3,033,130 1,516,565 4,549,696 2,274,848 1,137,424 568,712 284,356 142,178 71,089 213,268 106,634 53,317 159,952 79,976 39,988 19,994 9,997 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697

More profiles

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