λ
Prime Ledger

7,313,998

2 × 1657 × 2207
Deficient Even Composite

7,313,998 has the prime decomposition 2 × 1657 × 2207. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1657 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,982,592
Proper Divisor Sum 3,668,594
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7313983 ← → #7314037

Radix Representation

Decimal 7313998
Binary 11011111001101001001110 (23 bits)
Octal 0o33715116
Hexadecimal 0x6F9A4E

Divisor Catalog (8)

1 2 1,657 2,207 3,314 4,414 3,656,999 7,313,998

Collatz Trajectory (191 steps to reach 1)

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

7,313,998 3,656,999 10,970,998 5,485,499 16,456,498 8,228,249 24,684,748 12,342,374 6,171,187 18,513,562 9,256,781 27,770,344 13,885,172 6,942,586 3,471,293 10,413,880 5,206,940 2,603,470 1,301,735 3,905,206 1,952,603 5,857,810 2,928,905 8,786,716 4,393,358 2,196,679 6,590,038 3,295,019 9,885,058 4,942,529 14,827,588 7,413,794 3,706,897 11,120,692 5,560,346 2,780,173 8,340,520 4,170,260 2,085,130 1,042,565 3,127,696 1,563,848 781,924 390,962 195,481 586,444 293,222 146,611 439,834 219,917 659,752 329,876 164,938 82,469 247,408 123,704 61,852 30,926 15,463 46,390

More profiles

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