λ
Ratio Atlas

685,857

3 × 228619
Deficient Odd Composite

685,857 factors as 3 × 228619. Its 4 positive divisors give a proper-divisor sum of 228,623, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 3 × 228619
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 914,480
Proper Divisor Sum 228,623
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #685849 ← → #685859

Radix Representation

Decimal 685857
Binary 10100111011100100001 (20 bits)
Octal 0o2473441
Hexadecimal 0xA7721

Divisor Catalog (4)

1 3 228,619 685,857

Collatz Trajectory (53 steps to reach 1)

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

685,857 2,057,572 1,028,786 514,393 1,543,180 771,590 385,795 1,157,386 578,693 1,736,080 868,040 434,020 217,010 108,505 325,516 162,758 81,379 244,138 122,069 366,208 183,104 91,552 45,776 22,888 11,444 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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