831,250

2 × 5⁵ × 7 × 19

831,250 factors as 2 × 5^5 × 7 × 19. Its 48 positive divisors give a proper-divisor sum of 1,043,630, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 5^5 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,874,880

Proper Divisor Sum 1,043,630

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #831239 ← → #831253

Radix Representation

Decimal	831250
Binary	11001010111100010010 (20 bits)
Octal	0o3127422
Hexadecimal	0xCAF12

Divisor Catalog (48)

Collatz Trajectory (206 steps to reach 1)

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

831,250 415,625 1,246,876 623,438 311,719 935,158 467,579 1,402,738 701,369 2,104,108 1,052,054 526,027 1,578,082 789,041 2,367,124 1,183,562 591,781 1,775,344 887,672 443,836 221,918 110,959 332,878 166,439 499,318 249,659 748,978 374,489 1,123,468 561,734 280,867 842,602 421,301 1,263,904 631,952 315,976 157,988 78,994 39,497 118,492 59,246 29,623 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273

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