λ
Ratio Atlas

1,720,203

3 × 19 × 103 × 293
Deficient Odd Composite

1,720,203 factors as 3 × 19 × 103 × 293. Its 16 positive divisors give a proper-divisor sum of 725,877, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3 × 19 × 103 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,446,080
Proper Divisor Sum 725,877
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1720189 ← → #1720211

Radix Representation

Decimal 1720203
Binary 110100011111110001011 (21 bits)
Octal 0o6437613
Hexadecimal 0x1A3F8B

Divisor Catalog (16)

1 3 19 57 103 293 309 879 1,957 5,567 5,871 16,701 30,179 90,537 573,401 1,720,203

Collatz Trajectory (189 steps to reach 1)

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

1,720,203 5,160,610 2,580,305 7,740,916 3,870,458 1,935,229 5,805,688 2,902,844 1,451,422 725,711 2,177,134 1,088,567 3,265,702 1,632,851 4,898,554 2,449,277 7,347,832 3,673,916 1,836,958 918,479 2,755,438 1,377,719 4,133,158 2,066,579 6,199,738 3,099,869 9,299,608 4,649,804 2,324,902 1,162,451 3,487,354 1,743,677 5,231,032 2,615,516 1,307,758 653,879 1,961,638 980,819 2,942,458 1,471,229 4,413,688 2,206,844 1,103,422 551,711 1,655,134 827,567 2,482,702 1,241,351 3,724,054 1,862,027 5,586,082 2,793,041 8,379,124 4,189,562 2,094,781 6,284,344 3,142,172 1,571,086 785,543 2,356,630

More profiles

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