λ
Sigma Notebook

3,907,127

7 × 17 × 32833
Deficient Odd Composite

3,907,127 is odd and not a perfect square. Its factorization is 7 × 17 × 32833 and its 8 divisors sum to 4,728,096.

Prime Factor Structure

Factorization String 7 × 17 × 32833
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,728,096
Proper Divisor Sum 820,969
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3907121 ← → #3907133

Radix Representation

Decimal 3907127
Binary 1110111001111000110111 (22 bits)
Octal 0o16717067
Hexadecimal 0x3B9E37

Divisor Catalog (8)

1 7 17 119 32,833 229,831 558,161 3,907,127

Collatz Trajectory (123 steps to reach 1)

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

3,907,127 11,721,382 5,860,691 17,582,074 8,791,037 26,373,112 13,186,556 6,593,278 3,296,639 9,889,918 4,944,959 14,834,878 7,417,439 22,252,318 11,126,159 33,378,478 16,689,239 50,067,718 25,033,859 75,101,578 37,550,789 112,652,368 56,326,184 28,163,092 14,081,546 7,040,773 21,122,320 10,561,160 5,280,580 2,640,290 1,320,145 3,960,436 1,980,218 990,109 2,970,328 1,485,164 742,582 371,291 1,113,874 556,937 1,670,812 835,406 417,703 1,253,110 626,555 1,879,666 939,833 2,819,500 1,409,750 704,875 2,114,626 1,057,313 3,171,940 1,585,970 792,985 2,378,956 1,189,478 594,739 1,784,218 892,109

More profiles

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