548,850

2 × 3 × 5² × 3659

548,850 factors as 2 × 3 × 5^2 × 3659. Its 24 positive divisors give a proper-divisor sum of 812,670, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 3659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,361,520

Proper Divisor Sum 812,670

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #548843 ← → #548851

Radix Representation

Decimal	548850
Binary	10000101111111110010 (20 bits)
Octal	0o2057762
Hexadecimal	0x85FF2

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

548,850 274,425 823,276 411,638 205,819 617,458 308,729 926,188 463,094 231,547 694,642 347,321 1,041,964 520,982 260,491 781,474 390,737 1,172,212 586,106 293,053 879,160 439,580 219,790 109,895 329,686 164,843 494,530 247,265 741,796 370,898 185,449 556,348 278,174 139,087 417,262 208,631 625,894 312,947 938,842 469,421 1,408,264 704,132 352,066 176,033 528,100 264,050 132,025 396,076 198,038 99,019 297,058 148,529 445,588 222,794 111,397 334,192 167,096 83,548 41,774 20,887

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