λ
Harmonic Matrix

5,023,203

3 × 73 × 22937
Deficient Odd Composite

5,023,203 has digital root 6. The neighboring primes are 5023199 and 5023229; its proper-divisor sum differs from the starting integer by -3,256,758.

Prime Factor Structure

Factorization String 3 × 73 × 22937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,789,648
Proper Divisor Sum 1,766,445
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5023199 ← → #5023229

Radix Representation

Decimal 5023203
Binary 10011001010010111100011 (23 bits)
Octal 0o23122743
Hexadecimal 0x4CA5E3

Divisor Catalog (8)

1 3 73 219 22,937 68,811 1,674,401 5,023,203

Collatz Trajectory (175 steps to reach 1)

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

5,023,203 15,069,610 7,534,805 22,604,416 11,302,208 5,651,104 2,825,552 1,412,776 706,388 353,194 176,597 529,792 264,896 132,448 66,224 33,112 16,556 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 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

More profiles

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