825,605

5 × 11 × 17 × 883

825,605 has the prime decomposition 5 × 11 × 17 × 883. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,145,664

Proper Divisor Sum 320,059

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #825593 ← → #825611

Radix Representation

Decimal	825605
Binary	11001001100100000101 (20 bits)
Octal	0o3114405
Hexadecimal	0xC9905

Divisor Catalog (16)

1 5 11 17 55 85 187 883 935 4,415 9,713 15,011 48,565 75,055 165,121 825,605

Collatz Trajectory (206 steps to reach 1)

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

825,605 2,476,816 1,238,408 619,204 309,602 154,801 464,404 232,202 116,101 348,304 174,152 87,076 43,538 21,769 65,308 32,654 16,327 48,982 24,491 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240

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