7,998,921

3² × 7 × 126967

For 7,998,921, the 12 positive divisors have a total of 13,204,672. Removing 7,998,921 leaves 5,205,751, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 126967

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,204,672

Proper Divisor Sum 5,205,751

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7998863 ← → #7998937

Radix Representation

Decimal	7998921
Binary	11110100000110111001001 (23 bits)
Octal	0o36406711
Hexadecimal	0x7A0DC9

Divisor Catalog (12)

1 3 7 9 21 63 126,967 380,901 888,769 1,142,703 2,666,307 7,998,921

Collatz Trajectory (116 steps to reach 1)

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

7,998,921 23,996,764 11,998,382 5,999,191 17,997,574 8,998,787 26,996,362 13,498,181 40,494,544 20,247,272 10,123,636 5,061,818 2,530,909 7,592,728 3,796,364 1,898,182 949,091 2,847,274 1,423,637 4,270,912 2,135,456 1,067,728 533,864 266,932 133,466 66,733 200,200 100,100 50,050 25,025 75,076 37,538 18,769 56,308 28,154 14,077 42,232 21,116 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746

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