334,273

31 × 41 × 263

334,273 factors as 31 × 41 × 263. Its 8 positive divisors give a proper-divisor sum of 20,543, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 31 × 41 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 354,816

Proper Divisor Sum 20,543

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #334261 ← → #334289

Radix Representation

Decimal	334273
Binary	1010001100111000001 (19 bits)
Octal	0o1214701
Hexadecimal	0x519C1

Divisor Catalog (8)

1 31 41 263 1,271 8,153 10,783 334,273

Collatz Trajectory (91 steps to reach 1)

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

334,273 1,002,820 501,410 250,705 752,116 376,058 188,029 564,088 282,044 141,022 70,511 211,534 105,767 317,302 158,651 475,954 237,977 713,932 356,966 178,483 535,450 267,725 803,176 401,588 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59

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