248,526

2 × 3² × 13807

248,526 is even and not a perfect square. Its factorization is 2 × 3^2 × 13807 and its 12 divisors sum to 538,512.

Prime Factor Structure

Factorization String 2 × 3^2 × 13807

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 538,512

Proper Divisor Sum 289,986

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #248509 ← → #248533

Radix Representation

Decimal	248526
Binary	111100101011001110 (18 bits)
Octal	0o745316
Hexadecimal	0x3CACE

Divisor Catalog (12)

1 2 3 6 9 18 13,807 27,614 41,421 82,842 124,263 248,526

Collatz Trajectory (150 steps to reach 1)

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

248,526 124,263 372,790 186,395 559,186 279,593 838,780 419,390 209,695 629,086 314,543 943,630 471,815 1,415,446 707,723 2,123,170 1,061,585 3,184,756 1,592,378 796,189 2,388,568 1,194,284 597,142 298,571 895,714 447,857 1,343,572 671,786 335,893 1,007,680 503,840 251,920 125,960 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577

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