832,091

13 × 64007

832,091 factors as 13 × 64007. Its 4 positive divisors give a proper-divisor sum of 64,021, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 13 × 64007

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 896,112

Proper Divisor Sum 64,021

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #832081 ← → #832103

Radix Representation

Decimal	832091
Binary	11001011001001011011 (20 bits)
Octal	0o3131133
Hexadecimal	0xCB25B

Divisor Catalog (4)

1 13 64,007 832,091

Collatz Trajectory (162 steps to reach 1)

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

832,091 2,496,274 1,248,137 3,744,412 1,872,206 936,103 2,808,310 1,404,155 4,212,466 2,106,233 6,318,700 3,159,350 1,579,675 4,739,026 2,369,513 7,108,540 3,554,270 1,777,135 5,331,406 2,665,703 7,997,110 3,998,555 11,995,666 5,997,833 17,993,500 8,996,750 4,498,375 13,495,126 6,747,563 20,242,690 10,121,345 30,364,036 15,182,018 7,591,009 22,773,028 11,386,514 5,693,257 17,079,772 8,539,886 4,269,943 12,809,830 6,404,915 19,214,746 9,607,373 28,822,120 14,411,060 7,205,530 3,602,765 10,808,296 5,404,148 2,702,074 1,351,037 4,053,112 2,026,556 1,013,278 506,639 1,519,918 759,959 2,279,878 1,139,939

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