λ
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Atlas › Integer Profiles › Node 7,944,993

7,944,993

33 × 7 × 127 × 331
Deficient Odd Composite

7,944,993 factors as 3^3 × 7 × 127 × 331. Its 32 positive divisors give a proper-divisor sum of 5,653,727, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 127 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,598,720
Proper Divisor Sum 5,653,727
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7944991 ← → #7945031

Radix Representation

Decimal 7944993
Binary 11110010011101100100001 (23 bits)
Octal 0o36235441
Hexadecimal 0x793B21

Divisor Catalog (32)

1 3 7 9 21 27 63 127 189 331 381 889 993 1,143 2,317 2,667 2,979 3,429 6,951 8,001 8,937 20,853 24,003 42,037 62,559 126,111 294,259 378,333 882,777 1,134,999 2,648,331 7,944,993

Collatz Trajectory (186 steps to reach 1)

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

7,944,993 23,834,980 11,917,490 5,958,745 17,876,236 8,938,118 4,469,059 13,407,178 6,703,589 20,110,768 10,055,384 5,027,692 2,513,846 1,256,923 3,770,770 1,885,385 5,656,156 2,828,078 1,414,039 4,242,118 2,121,059 6,363,178 3,181,589 9,544,768 4,772,384 2,386,192 1,193,096 596,548 298,274 149,137 447,412 223,706 111,853 335,560 167,780 83,890 41,945 125,836 62,918 31,459 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403

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