825,967

293 × 2819

825,967 factors as 293 × 2819. Its 4 positive divisors give a proper-divisor sum of 3,113, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 293 × 2819

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 829,080

Proper Divisor Sum 3,113

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #825961 ← → #825971

Radix Representation

Decimal	825967
Binary	11001001101001101111 (20 bits)
Octal	0o3115157
Hexadecimal	0xC9A6F

Divisor Catalog (4)

1 293 2,819 825,967

Collatz Trajectory (162 steps to reach 1)

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

825,967 2,477,902 1,238,951 3,716,854 1,858,427 5,575,282 2,787,641 8,362,924 4,181,462 2,090,731 6,272,194 3,136,097 9,408,292 4,704,146 2,352,073 7,056,220 3,528,110 1,764,055 5,292,166 2,646,083 7,938,250 3,969,125 11,907,376 5,953,688 2,976,844 1,488,422 744,211 2,232,634 1,116,317 3,348,952 1,674,476 837,238 418,619 1,255,858 627,929 1,883,788 941,894 470,947 1,412,842 706,421 2,119,264 1,059,632 529,816 264,908 132,454 66,227 198,682 99,341 298,024 149,012 74,506 37,253 111,760 55,880 27,940 13,970 6,985 20,956 10,478 5,239

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