λ
Sigma Notebook

3,959,907

3 × 7 × 101 × 1867
Deficient Odd Composite

3,959,907 is odd and not a perfect square. Its factorization is 3 × 7 × 101 × 1867 and its 16 divisors sum to 6,097,152.

Prime Factor Structure

Factorization String 3 × 7 × 101 × 1867
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,097,152
Proper Divisor Sum 2,137,245
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3959899 ← → #3959911

Radix Representation

Decimal 3959907
Binary 1111000110110001100011 (22 bits)
Octal 0o17066143
Hexadecimal 0x3C6C63

Divisor Catalog (16)

1 3 7 21 101 303 707 1,867 2,121 5,601 13,069 39,207 188,567 565,701 1,319,969 3,959,907

Collatz Trajectory (66 steps to reach 1)

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

3,959,907 11,879,722 5,939,861 17,819,584 8,909,792 4,454,896 2,227,448 1,113,724 556,862 278,431 835,294 417,647 1,252,942 626,471 1,879,414 939,707 2,819,122 1,409,561 4,228,684 2,114,342 1,057,171 3,171,514 1,585,757 4,757,272 2,378,636 1,189,318 594,659 1,783,978 891,989 2,675,968 1,337,984 668,992 334,496 167,248 83,624 41,812 20,906 10,453 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

More profiles

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