5,480,188

2² × 7 × 17 × 29 × 397

Starting at 5,480,188, the Collatz iteration reaches 1 after 201 steps. The first transition is 2740094; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 29 × 397

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,035,520

Proper Divisor Sum 6,555,332

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5480173 ← → #5480197

Radix Representation

Decimal	5480188
Binary	10100111001111011111100 (23 bits)
Octal	0o24717374
Hexadecimal	0x539EFC

Divisor Catalog (48)

1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 397 406 476 493 794 812 986 1,588 1,972 2,779 3,451 5,558 6,749 6,902 11,116 11,513 13,498 13,804 23,026 26,996 46,052 47,243 80,591 94,486 161,182 188,972 195,721 322,364 391,442 782,884 1,370,047 2,740,094 5,480,188

Collatz Trajectory (201 steps to reach 1)

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

5,480,188 2,740,094 1,370,047 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

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