λ
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548,532

22 × 34 × 1693
Abundant Even Composite

548,532 factors as 2^2 × 3^4 × 1693. Its 30 positive divisors give a proper-divisor sum of 886,286, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 1693
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 1,434,818
Proper Divisor Sum 886,286
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #548521 ← → #548533

Radix Representation

Decimal 548532
Binary 10000101111010110100 (20 bits)
Octal 0o2057264
Hexadecimal 0x85EB4

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1,693 3,386 5,079 6,772 10,158 15,237 20,316 30,474 45,711 60,948 91,422 137,133 182,844 274,266 548,532

Collatz Trajectory (89 steps to reach 1)

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

548,532 274,266 137,133 411,400 205,700 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482

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