λ
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247,392

25 × 32 × 859
Abundant Even Composite

247,392 factors as 2^5 × 3^2 × 859. Its 36 positive divisors give a proper-divisor sum of 456,948, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 704,340
Proper Divisor Sum 456,948
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #247391 ← → #247393

Radix Representation

Decimal 247392
Binary 111100011001100000 (18 bits)
Octal 0o743140
Hexadecimal 0x3C660

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 859 1,718 2,577 3,436 5,154 6,872 7,731 10,308 13,744 15,462 20,616 27,488 30,924 41,232 61,848 82,464 123,696 247,392

Collatz Trajectory (150 steps to reach 1)

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

247,392 123,696 61,848 30,924 15,462 7,731 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

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