908,765

5 × 11 × 13 × 31 × 41

908,765 factors as 5 × 11 × 13 × 31 × 41. Its 32 positive divisors give a proper-divisor sum of 445,987, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 5 × 11 × 13 × 31 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,354,752

Proper Divisor Sum 445,987

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #908759 ← → #908771

Radix Representation

Decimal	908765
Binary	11011101110111011101 (20 bits)
Octal	0o3356735
Hexadecimal	0xDDDDD

Divisor Catalog (32)

Collatz Trajectory (201 steps to reach 1)

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

908,765 2,726,296 1,363,148 681,574 340,787 1,022,362 511,181 1,533,544 766,772 383,386 191,693 575,080 287,540 143,770 71,885 215,656 107,828 53,914 26,957 80,872 40,436 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600

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