λ
Prime Ledger

7,000,369

2113 × 3313
Deficient Odd Composite

7,000,369 has the prime decomposition 2113 × 3313. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2113 × 3313
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,005,796
Proper Divisor Sum 5,427
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7000351 ← → #7000373

Radix Representation

Decimal 7000369
Binary 11010101101000100110001 (23 bits)
Octal 0o32550461
Hexadecimal 0x6AD131

Divisor Catalog (4)

1 2,113 3,313 7,000,369

Collatz Trajectory (116 steps to reach 1)

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

7,000,369 21,001,108 10,500,554 5,250,277 15,750,832 7,875,416 3,937,708 1,968,854 984,427 2,953,282 1,476,641 4,429,924 2,214,962 1,107,481 3,322,444 1,661,222 830,611 2,491,834 1,245,917 3,737,752 1,868,876 934,438 467,219 1,401,658 700,829 2,102,488 1,051,244 525,622 262,811 788,434 394,217 1,182,652 591,326 295,663 886,990 443,495 1,330,486 665,243 1,995,730 997,865 2,993,596 1,496,798 748,399 2,245,198 1,122,599 3,367,798 1,683,899 5,051,698 2,525,849 7,577,548 3,788,774 1,894,387 5,683,162 2,841,581 8,524,744 4,262,372 2,131,186 1,065,593 3,196,780 1,598,390

More profiles

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