λ
Prime Ledger

7,995,676

22 × 13 × 153763
Deficient Even Composite

7,995,676 has the prime decomposition 2^2 × 13 × 153763. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 153763
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,068,872
Proper Divisor Sum 7,073,196
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7995653 ← → #7995679

Radix Representation

Decimal 7995676
Binary 11110100000000100011100 (23 bits)
Octal 0o36400434
Hexadecimal 0x7A011C

Divisor Catalog (12)

1 2 4 13 26 52 153,763 307,526 615,052 1,998,919 3,997,838 7,995,676

Collatz Trajectory (261 steps to reach 1)

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

7,995,676 3,997,838 1,998,919 5,996,758 2,998,379 8,995,138 4,497,569 13,492,708 6,746,354 3,373,177 10,119,532 5,059,766 2,529,883 7,589,650 3,794,825 11,384,476 5,692,238 2,846,119 8,538,358 4,269,179 12,807,538 6,403,769 19,211,308 9,605,654 4,802,827 14,408,482 7,204,241 21,612,724 10,806,362 5,403,181 16,209,544 8,104,772 4,052,386 2,026,193 6,078,580 3,039,290 1,519,645 4,558,936 2,279,468 1,139,734 569,867 1,709,602 854,801 2,564,404 1,282,202 641,101 1,923,304 961,652 480,826 240,413 721,240 360,620 180,310 90,155 270,466 135,233 405,700 202,850 101,425 304,276

More profiles

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