λ
Sigma Notebook

6,736,845

3 × 5 × 17 × 29 × 911
Deficient Odd Composite

6,736,845 is odd and not a perfect square. Its factorization is 3 × 5 × 17 × 29 × 911 and its 32 divisors sum to 11,819,520.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 29 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,819,520
Proper Divisor Sum 5,082,675
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6736841 ← → #6736859

Radix Representation

Decimal 6736845
Binary 11001101100101111001101 (23 bits)
Octal 0o31545715
Hexadecimal 0x66CBCD

Divisor Catalog (32)

1 3 5 15 17 29 51 85 87 145 255 435 493 911 1,479 2,465 2,733 4,555 7,395 13,665 15,487 26,419 46,461 77,435 79,257 132,095 232,305 396,285 449,123 1,347,369 2,245,615 6,736,845

Collatz Trajectory (116 steps to reach 1)

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

6,736,845 20,210,536 10,105,268 5,052,634 2,526,317 7,578,952 3,789,476 1,894,738 947,369 2,842,108 1,421,054 710,527 2,131,582 1,065,791 3,197,374 1,598,687 4,796,062 2,398,031 7,194,094 3,597,047 10,791,142 5,395,571 16,186,714 8,093,357 24,280,072 12,140,036 6,070,018 3,035,009 9,105,028 4,552,514 2,276,257 6,828,772 3,414,386 1,707,193 5,121,580 2,560,790 1,280,395 3,841,186 1,920,593 5,761,780 2,880,890 1,440,445 4,321,336 2,160,668 1,080,334 540,167 1,620,502 810,251 2,430,754 1,215,377 3,646,132 1,823,066 911,533 2,734,600 1,367,300 683,650 341,825 1,025,476 512,738 256,369

More profiles

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