λ
Ratio Atlas

693,589

13 × 53353
Deficient Odd Composite

693,589 factors as 13 × 53353. Its 4 positive divisors give a proper-divisor sum of 53,367, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 13 × 53353
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 746,956
Proper Divisor Sum 53,367
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #693571 ← → #693601

Radix Representation

Decimal 693589
Binary 10101001010101010101 (20 bits)
Octal 0o2512525
Hexadecimal 0xA9555

Divisor Catalog (4)

1 13 53,353 693,589

Collatz Trajectory (61 steps to reach 1)

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

693,589 2,080,768 1,040,384 520,192 260,096 130,048 65,024 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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