λ
Sigma Notebook

6,301,990

2 × 5 × 29 × 31 × 701
Deficient Even Composite

6,301,990 is even and not a perfect square. Its factorization is 2 × 5 × 29 × 31 × 701 and its 32 divisors sum to 12,130,560.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 31 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,130,560
Proper Divisor Sum 5,828,570
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6301973 ← → #6302003

Radix Representation

Decimal 6301990
Binary 11000000010100100100110 (23 bits)
Octal 0o30024446
Hexadecimal 0x602926

Divisor Catalog (32)

1 2 5 10 29 31 58 62 145 155 290 310 701 899 1,402 1,798 3,505 4,495 7,010 8,990 20,329 21,731 40,658 43,462 101,645 108,655 203,290 217,310 630,199 1,260,398 3,150,995 6,301,990

Collatz Trajectory (103 steps to reach 1)

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

6,301,990 3,150,995 9,452,986 4,726,493 14,179,480 7,089,740 3,544,870 1,772,435 5,317,306 2,658,653 7,975,960 3,987,980 1,993,990 996,995 2,990,986 1,495,493 4,486,480 2,243,240 1,121,620 560,810 280,405 841,216 420,608 210,304 105,152 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114

More profiles

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