λ
Harmonic Matrix

5,480,189

11 × 13 × 19 × 2017
Deficient Odd Composite

5,480,189 has digital root 8. The neighboring primes are 5480173 and 5480197; its proper-divisor sum differs from the starting integer by -4,179,898.

Prime Factor Structure

Factorization String 11 × 13 × 19 × 2017
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,780,480
Proper Divisor Sum 1,300,291
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5480173 ← → #5480197

Radix Representation

Decimal 5480189
Binary 10100111001111011111101 (23 bits)
Octal 0o24717375
Hexadecimal 0x539EFD

Divisor Catalog (16)

1 11 13 19 143 209 247 2,017 2,717 22,187 26,221 38,323 288,431 421,553 498,199 5,480,189

Collatz Trajectory (201 steps to reach 1)

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

5,480,189 16,440,568 8,220,284 4,110,142 2,055,071 6,165,214 3,082,607 9,247,822 4,623,911 13,871,734 6,935,867 20,807,602 10,403,801 31,211,404 15,605,702 7,802,851 23,408,554 11,704,277 35,112,832 17,556,416 8,778,208 4,389,104 2,194,552 1,097,276 548,638 274,319 822,958 411,479 1,234,438 617,219 1,851,658 925,829 2,777,488 1,388,744 694,372 347,186 173,593 520,780 260,390 130,195 390,586 195,293 585,880 292,940 146,470 73,235 219,706 109,853 329,560 164,780 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759

More profiles

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