833,775

3 × 5² × 11117

833,775 factors as 3 × 5^2 × 11117. Its 12 positive divisors give a proper-divisor sum of 544,857, so this integer is deficient. The Collatz stopping time is 356 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,378,632

Proper Divisor Sum 544,857

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #833759 ← → #833783

Radix Representation

Decimal	833775
Binary	11001011100011101111 (20 bits)
Octal	0o3134357
Hexadecimal	0xCB8EF

Divisor Catalog (12)

1 3 5 15 25 75 11,117 33,351 55,585 166,755 277,925 833,775

Collatz Trajectory (356 steps to reach 1)

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

833,775 2,501,326 1,250,663 3,751,990 1,875,995 5,627,986 2,813,993 8,441,980 4,220,990 2,110,495 6,331,486 3,165,743 9,497,230 4,748,615 14,245,846 7,122,923 21,368,770 10,684,385 32,053,156 16,026,578 8,013,289 24,039,868 12,019,934 6,009,967 18,029,902 9,014,951 27,044,854 13,522,427 40,567,282 20,283,641 60,850,924 30,425,462 15,212,731 45,638,194 22,819,097 68,457,292 34,228,646 17,114,323 51,342,970 25,671,485 77,014,456 38,507,228 19,253,614 9,626,807 28,880,422 14,440,211 43,320,634 21,660,317 64,980,952 32,490,476 16,245,238 8,122,619 24,367,858 12,183,929 36,551,788 18,275,894 9,137,947 27,413,842 13,706,921 41,120,764

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