λ
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7,991,973

33 × 11 × 71 × 379
Deficient Odd Composite

7,991,973 factors as 3^3 × 11 × 71 × 379. Its 32 positive divisors give a proper-divisor sum of 5,140,827, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 71 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,132,800
Proper Divisor Sum 5,140,827
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7991957 ← → #7991981

Radix Representation

Decimal 7991973
Binary 11110011111001010100101 (23 bits)
Octal 0o36371245
Hexadecimal 0x79F2A5

Divisor Catalog (32)

1 3 9 11 27 33 71 99 213 297 379 639 781 1,137 1,917 2,343 3,411 4,169 7,029 10,233 12,507 21,087 26,909 37,521 80,727 112,563 242,181 295,999 726,543 887,997 2,663,991 7,991,973

Collatz Trajectory (186 steps to reach 1)

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

7,991,973 23,975,920 11,987,960 5,993,980 2,996,990 1,498,495 4,495,486 2,247,743 6,743,230 3,371,615 10,114,846 5,057,423 15,172,270 7,586,135 22,758,406 11,379,203 34,137,610 17,068,805 51,206,416 25,603,208 12,801,604 6,400,802 3,200,401 9,601,204 4,800,602 2,400,301 7,200,904 3,600,452 1,800,226 900,113 2,700,340 1,350,170 675,085 2,025,256 1,012,628 506,314 253,157 759,472 379,736 189,868 94,934 47,467 142,402 71,201 213,604 106,802 53,401 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692

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