λ
Prime Ledger

831,660

22 × 3 × 5 × 83 × 167
Abundant Even Composite

831,660 has the prime decomposition 2^2 × 3 × 5 × 83 × 167. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 83 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,370,816
Proper Divisor Sum 1,539,156
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #831659 ← → #831661

Radix Representation

Decimal 831660
Binary 11001011000010101100 (20 bits)
Octal 0o3130254
Hexadecimal 0xCB0AC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 83 166 167 249 332 334 415 498 501 668 830 835 996 1,002 1,245 1,660 1,670 2,004 2,490 2,505 3,340 4,980 5,010 10,020 13,861 27,722 41,583 55,444 69,305 83,166 138,610 166,332 207,915 277,220 415,830 831,660

Collatz Trajectory (206 steps to reach 1)

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

831,660 415,830 207,915 623,746 311,873 935,620 467,810 233,905 701,716 350,858 175,429 526,288 263,144 131,572 65,786 32,893 98,680 49,340 24,670 12,335 37,006 18,503 55,510 27,755 83,266 41,633 124,900 62,450 31,225 93,676 46,838 23,419 70,258 35,129 105,388 52,694 26,347 79,042 39,521 118,564 59,282 29,641 88,924 44,462 22,231 66,694 33,347 100,042 50,021 150,064 75,032 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276

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