λ
Ratio Atlas

1,019,691

32 × 137 × 827
Deficient Odd Composite

1,019,691 factors as 3^2 × 137 × 827. Its 12 positive divisors give a proper-divisor sum of 465,741, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^2 × 137 × 827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,485,432
Proper Divisor Sum 465,741
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1019687 ← → #1019693

Radix Representation

Decimal 1019691
Binary 11111000111100101011 (20 bits)
Octal 0o3707453
Hexadecimal 0xF8F2B

Divisor Catalog (12)

1 3 9 137 411 827 1,233 2,481 7,443 113,299 339,897 1,019,691

Collatz Trajectory (103 steps to reach 1)

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

1,019,691 3,059,074 1,529,537 4,588,612 2,294,306 1,147,153 3,441,460 1,720,730 860,365 2,581,096 1,290,548 645,274 322,637 967,912 483,956 241,978 120,989 362,968 181,484 90,742 45,371 136,114 68,057 204,172 102,086 51,043 153,130 76,565 229,696 114,848 57,424 28,712 14,356 7,178 3,589 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084

More profiles

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