548,900

2² × 5² × 11 × 499

Starting at 548,900, the Collatz iteration reaches 1 after 120 steps. The first transition is 274450; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,302,000

Proper Divisor Sum 753,100

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #548897 ← → #548903

Radix Representation

Decimal	548900
Binary	10000110000000100100 (20 bits)
Octal	0o2060044
Hexadecimal	0x86024

Divisor Catalog (36)

1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 499 550 998 1,100 1,996 2,495 4,990 5,489 9,980 10,978 12,475 21,956 24,950 27,445 49,900 54,890 109,780 137,225 274,450 548,900

Collatz Trajectory (120 steps to reach 1)

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

548,900 274,450 137,225 411,676 205,838 102,919 308,758 154,379 463,138 231,569 694,708 347,354 173,677 521,032 260,516 130,258 65,129 195,388 97,694 48,847 146,542 73,271 219,814 109,907 329,722 164,861 494,584 247,292 123,646 61,823 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950 469,475 1,408,426 704,213 2,112,640 1,056,320 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891

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