λ
Prime Ledger

3,340,883

7 × 13 × 36713
Deficient Odd Composite

3,340,883 has the prime decomposition 7 × 13 × 36713. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 36713
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,111,968
Proper Divisor Sum 771,085
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3340879 ← → #3340907

Radix Representation

Decimal 3340883
Binary 1100101111101001010011 (22 bits)
Octal 0o14575123
Hexadecimal 0x32FA53

Divisor Catalog (8)

1 7 13 91 36,713 256,991 477,269 3,340,883

Collatz Trajectory (190 steps to reach 1)

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

3,340,883 10,022,650 5,011,325 15,033,976 7,516,988 3,758,494 1,879,247 5,637,742 2,818,871 8,456,614 4,228,307 12,684,922 6,342,461 19,027,384 9,513,692 4,756,846 2,378,423 7,135,270 3,567,635 10,702,906 5,351,453 16,054,360 8,027,180 4,013,590 2,006,795 6,020,386 3,010,193 9,030,580 4,515,290 2,257,645 6,772,936 3,386,468 1,693,234 846,617 2,539,852 1,269,926 634,963 1,904,890 952,445 2,857,336 1,428,668 714,334 357,167 1,071,502 535,751 1,607,254 803,627 2,410,882 1,205,441 3,616,324 1,808,162 904,081 2,712,244 1,356,122 678,061 2,034,184 1,017,092 508,546 254,273 762,820

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