λ
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338,832

24 × 32 × 13 × 181
Abundant Even Composite

338,832 factors as 2^4 × 3^2 × 13 × 181. Its 60 positive divisors give a proper-divisor sum of 688,012, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 1,026,844
Proper Divisor Sum 688,012
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #338803 ← → #338839

Radix Representation

Decimal 338832
Binary 1010010101110010000 (19 bits)
Octal 0o1225620
Hexadecimal 0x52B90

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 181 208 234 312 362 468 543 624 724 936 1,086 1,448 1,629 1,872 2,172 2,353 2,896 3,258 4,344 4,706 6,516 7,059 8,688 9,412 13,032 14,118 18,824 21,177 26,064 28,236 37,648 42,354 56,472 84,708 112,944 169,416 338,832

Collatz Trajectory (153 steps to reach 1)

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

338,832 169,416 84,708 42,354 21,177 63,532 31,766 15,883 47,650 23,825 71,476 35,738 17,869 53,608 26,804 13,402 6,701 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364

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