334,368

2⁵ × 3⁵ × 43

334,368 factors as 2^5 × 3^5 × 43. Its 72 positive divisors give a proper-divisor sum of 674,640, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 3^5 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,009,008

Proper Divisor Sum 674,640

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #334363 ← → #334379

Radix Representation

Decimal	334368
Binary	1010001101000100000 (19 bits)
Octal	0o1215040
Hexadecimal	0x51A20

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 688 774 864 972 1,032 1,161 1,296 1,376 1,548 1,944 2,064 2,322 2,592 3,096 3,483 3,888 4,128 4,644 6,192 6,966 7,776 9,288 10,449

Collatz Trajectory (91 steps to reach 1)

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

334,368 167,184 83,592 41,796 20,898 10,449 31,348 15,674 7,837 23,512 11,756 5,878 2,939 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59

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