λ
Zalai Atlas

6,809,961

3 × 19 × 37 × 3229
Deficient Odd Composite

6,809,961 has the prime decomposition 3 × 19 × 37 × 3229. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 37 × 3229
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,819,200
Proper Divisor Sum 3,009,239
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6809927 ← → #6809981

Radix Representation

Decimal 6809961
Binary 11001111110100101101001 (23 bits)
Octal 0o31764551
Hexadecimal 0x67E969

Divisor Catalog (16)

1 3 19 37 57 111 703 2,109 3,229 9,687 61,351 119,473 184,053 358,419 2,269,987 6,809,961

Collatz Trajectory (178 steps to reach 1)

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

6,809,961 20,429,884 10,214,942 5,107,471 15,322,414 7,661,207 22,983,622 11,491,811 34,475,434 17,237,717 51,713,152 25,856,576 12,928,288 6,464,144 3,232,072 1,616,036 808,018 404,009 1,212,028 606,014 303,007 909,022 454,511 1,363,534 681,767 2,045,302 1,022,651 3,067,954 1,533,977 4,601,932 2,300,966 1,150,483 3,451,450 1,725,725 5,177,176 2,588,588 1,294,294 647,147 1,941,442 970,721 2,912,164 1,456,082 728,041 2,184,124 1,092,062 546,031 1,638,094 819,047 2,457,142 1,228,571 3,685,714 1,842,857 5,528,572 2,764,286 1,382,143 4,146,430 2,073,215 6,219,646 3,109,823 9,329,470

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