λ
Sigma Notebook

830,195

5 × 17 × 9767
Deficient Odd Composite

830,195 is odd and not a perfect square. Its factorization is 5 × 17 × 9767 and its 8 divisors sum to 1,054,944.

Prime Factor Structure

Factorization String 5 × 17 × 9767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,054,944
Proper Divisor Sum 224,749
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #830191 ← → #830233

Radix Representation

Decimal 830195
Binary 11001010101011110011 (20 bits)
Octal 0o3125363
Hexadecimal 0xCAAF3

Divisor Catalog (8)

1 5 17 85 9,767 48,835 166,039 830,195

Collatz Trajectory (136 steps to reach 1)

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

830,195 2,490,586 1,245,293 3,735,880 1,867,940 933,970 466,985 1,400,956 700,478 350,239 1,050,718 525,359 1,576,078 788,039 2,364,118 1,182,059 3,546,178 1,773,089 5,319,268 2,659,634 1,329,817 3,989,452 1,994,726 997,363 2,992,090 1,496,045 4,488,136 2,244,068 1,122,034 561,017 1,683,052 841,526 420,763 1,262,290 631,145 1,893,436 946,718 473,359 1,420,078 710,039 2,130,118 1,065,059 3,195,178 1,597,589 4,792,768 2,396,384 1,198,192 599,096 299,548 149,774 74,887 224,662 112,331 336,994 168,497 505,492 252,746 126,373 379,120 189,560

More profiles

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