λ
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Atlas › Integer Profiles › Node 5,001,997

5,001,997

7 × 11 × 13 × 19 × 263
Deficient Odd Composite

5,001,997 factors as 7 × 11 × 13 × 19 × 263. Its 32 positive divisors give a proper-divisor sum of 2,094,323, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 19 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,096,320
Proper Divisor Sum 2,094,323
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5001979 ← → #5002001

Radix Representation

Decimal 5001997
Binary 10011000101001100001101 (23 bits)
Octal 0o23051415
Hexadecimal 0x4C530D

Divisor Catalog (32)

1 7 11 13 19 77 91 133 143 209 247 263 1,001 1,463 1,729 1,841 2,717 2,893 3,419 4,997 19,019 20,251 23,933 34,979 37,609 54,967 64,961 263,263 384,769 454,727 714,571 5,001,997

Collatz Trajectory (175 steps to reach 1)

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

5,001,997 15,005,992 7,502,996 3,751,498 1,875,749 5,627,248 2,813,624 1,406,812 703,406 351,703 1,055,110 527,555 1,582,666 791,333 2,374,000 1,187,000 593,500 296,750 148,375 445,126 222,563 667,690 333,845 1,001,536 500,768 250,384 125,192 62,596 31,298 15,649 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884

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