λ
Zalai Atlas

688,847

223 × 3089
Deficient Odd Composite

688,847 has the prime decomposition 223 × 3089. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 223 × 3089
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 692,160
Proper Divisor Sum 3,313
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #688813 ← → #688861

Radix Representation

Decimal 688847
Binary 10101000001011001111 (20 bits)
Octal 0o2501317
Hexadecimal 0xA82CF

Divisor Catalog (4)

1 223 3,089 688,847

Collatz Trajectory (53 steps to reach 1)

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

688,847 2,066,542 1,033,271 3,099,814 1,549,907 4,649,722 2,324,861 6,974,584 3,487,292 1,743,646 871,823 2,615,470 1,307,735 3,923,206 1,961,603 5,884,810 2,942,405 8,827,216 4,413,608 2,206,804 1,103,402 551,701 1,655,104 827,552 413,776 206,888 103,444 51,722 25,861 77,584 38,792 19,396 9,698 4,849 14,548 7,274 3,637 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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