λ
Ratio Atlas

2,042,683

31 × 131 × 503
Deficient Odd Composite

2,042,683 factors as 31 × 131 × 503. Its 8 positive divisors give a proper-divisor sum of 86,213, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 31 × 131 × 503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,128,896
Proper Divisor Sum 86,213
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2042681 ← → #2042687

Radix Representation

Decimal 2042683
Binary 111110010101100111011 (21 bits)
Octal 0o7625473
Hexadecimal 0x1F2B3B

Divisor Catalog (8)

1 31 131 503 4,061 15,593 65,893 2,042,683

Collatz Trajectory (104 steps to reach 1)

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

2,042,683 6,128,050 3,064,025 9,192,076 4,596,038 2,298,019 6,894,058 3,447,029 10,341,088 5,170,544 2,585,272 1,292,636 646,318 323,159 969,478 484,739 1,454,218 727,109 2,181,328 1,090,664 545,332 272,666 136,333 409,000 204,500 102,250 51,125 153,376 76,688 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361

More profiles

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