λ
Integer Codex

825,793

53 × 15581
Deficient Odd Composite

For 825,793, the 4 positive divisors have a total of 841,428. Removing 825,793 leaves 15,635, which gives the deficient classification.

Prime Factor Structure

Factorization String 53 × 15581
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 841,428
Proper Divisor Sum 15,635
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #825791 ← → #825821

Radix Representation

Decimal 825793
Binary 11001001100111000001 (20 bits)
Octal 0o3114701
Hexadecimal 0xC99C1

Divisor Catalog (4)

1 53 15,581 825,793

Collatz Trajectory (144 steps to reach 1)

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

825,793 2,477,380 1,238,690 619,345 1,858,036 929,018 464,509 1,393,528 696,764 348,382 174,191 522,574 261,287 783,862 391,931 1,175,794 587,897 1,763,692 881,846 440,923 1,322,770 661,385 1,984,156 992,078 496,039 1,488,118 744,059 2,232,178 1,116,089 3,348,268 1,674,134 837,067 2,511,202 1,255,601 3,766,804 1,883,402 941,701 2,825,104 1,412,552 706,276 353,138 176,569 529,708 264,854 132,427 397,282 198,641 595,924 297,962 148,981 446,944 223,472 111,736 55,868 27,934 13,967 41,902 20,951 62,854 31,427

More profiles

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