λ
Ratio Atlas

10,000,703

2011 × 4973
Deficient Odd Composite

10,000,703 factors as 2011 × 4973. Its 4 positive divisors give a proper-divisor sum of 6,985, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2011 × 4973
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,007,688
Proper Divisor Sum 6,985
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #10000691 ← → #10000721

Radix Representation

Decimal 10000703
Binary 100110001001100100111111 (24 bits)
Octal 0o46114477
Hexadecimal 0x98993F

Divisor Catalog (4)

Collatz Trajectory (189 steps to reach 1)

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

10,000,703 30,002,110 15,001,055 45,003,166 22,501,583 67,504,750 33,752,375 101,257,126 50,628,563 151,885,690 75,942,845 227,828,536 113,914,268 56,957,134 28,478,567 85,435,702 42,717,851 128,153,554 64,076,777 192,230,332 96,115,166 48,057,583 144,172,750 72,086,375 216,259,126 108,129,563 324,388,690 162,194,345 486,583,036 243,291,518 121,645,759 364,937,278 182,468,639 547,405,918 273,702,959 821,108,878 410,554,439 1,231,663,318 615,831,659 1,847,494,978 923,747,489 2,771,242,468 1,385,621,234 692,810,617 2,078,431,852 1,039,215,926 519,607,963 1,558,823,890 779,411,945 2,338,235,836 1,169,117,918 584,558,959 1,753,676,878 876,838,439 2,630,515,318 1,315,257,659 3,945,772,978 1,972,886,489 5,918,659,468 2,959,329,734

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