350,055

3³ × 5 × 2593

350,055 factors as 3^3 × 5 × 2593. Its 16 positive divisors give a proper-divisor sum of 272,505, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 2593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 622,560

Proper Divisor Sum 272,505

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #350039 ← → #350087

Radix Representation

Decimal	350055
Binary	1010101011101100111 (19 bits)
Octal	0o1253547
Hexadecimal	0x55767

Divisor Catalog (16)

1 3 5 9 15 27 45 135 2,593 7,779 12,965 23,337 38,895 70,011 116,685 350,055

Collatz Trajectory (228 steps to reach 1)

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

350,055 1,050,166 525,083 1,575,250 787,625 2,362,876 1,181,438 590,719 1,772,158 886,079 2,658,238 1,329,119 3,987,358 1,993,679 5,981,038 2,990,519 8,971,558 4,485,779 13,457,338 6,728,669 20,186,008 10,093,004 5,046,502 2,523,251 7,569,754 3,784,877 11,354,632 5,677,316 2,838,658 1,419,329 4,257,988 2,128,994 1,064,497 3,193,492 1,596,746 798,373 2,395,120 1,197,560 598,780 299,390 149,695 449,086 224,543 673,630 336,815 1,010,446 505,223 1,515,670 757,835 2,273,506 1,136,753 3,410,260 1,705,130 852,565 2,557,696 1,278,848 639,424 319,712 159,856 79,928

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