λ
Ratio Atlas

831,335

5 × 23 × 7229
Deficient Odd Composite

831,335 factors as 5 × 23 × 7229. Its 8 positive divisors give a proper-divisor sum of 209,785, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 5 × 23 × 7229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,041,120
Proper Divisor Sum 209,785
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #831329 ← → #831361

Radix Representation

Decimal 831335
Binary 11001010111101100111 (20 bits)
Octal 0o3127547
Hexadecimal 0xCAF67

Divisor Catalog (8)

Collatz Trajectory (219 steps to reach 1)

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

831,335 2,494,006 1,247,003 3,741,010 1,870,505 5,611,516 2,805,758 1,402,879 4,208,638 2,104,319 6,312,958 3,156,479 9,469,438 4,734,719 14,204,158 7,102,079 21,306,238 10,653,119 31,959,358 15,979,679 47,939,038 23,969,519 71,908,558 35,954,279 107,862,838 53,931,419 161,794,258 80,897,129 242,691,388 121,345,694 60,672,847 182,018,542 91,009,271 273,027,814 136,513,907 409,541,722 204,770,861 614,312,584 307,156,292 153,578,146 76,789,073 230,367,220 115,183,610 57,591,805 172,775,416 86,387,708 43,193,854 21,596,927 64,790,782 32,395,391 97,186,174 48,593,087 145,779,262 72,889,631 218,668,894 109,334,447 328,003,342 164,001,671 492,005,014 246,002,507

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