λ
Prime Ledger

248,532

22 × 3 × 139 × 149
Abundant Even Composite

248,532 has the prime decomposition 2^2 × 3 × 139 × 149. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 139 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 588,000
Proper Divisor Sum 339,468
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #248509 ← → #248533

Radix Representation

Decimal 248532
Binary 111100101011010100 (18 bits)
Octal 0o745324
Hexadecimal 0x3CAD4

Divisor Catalog (24)

1 2 3 4 6 12 139 149 278 298 417 447 556 596 834 894 1,668 1,788 20,711 41,422 62,133 82,844 124,266 248,532

Collatz Trajectory (57 steps to reach 1)

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

248,532 124,266 62,133 186,400 93,200 46,600 23,300 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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