λ
Sigma Notebook

6,386,757

3 × 13 × 29 × 5647
Deficient Odd Composite

6,386,757 is odd and not a perfect square. Its factorization is 3 × 13 × 29 × 5647 and its 16 divisors sum to 9,488,640.

Prime Factor Structure

Factorization String 3 × 13 × 29 × 5647
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,488,640
Proper Divisor Sum 3,101,883
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6386749 ← → #6386773

Radix Representation

Decimal 6386757
Binary 11000010111010001000101 (23 bits)
Octal 0o30272105
Hexadecimal 0x617445

Divisor Catalog (16)

1 3 13 29 39 87 377 1,131 5,647 16,941 73,411 163,763 220,233 491,289 2,128,919 6,386,757

Collatz Trajectory (196 steps to reach 1)

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

6,386,757 19,160,272 9,580,136 4,790,068 2,395,034 1,197,517 3,592,552 1,796,276 898,138 449,069 1,347,208 673,604 336,802 168,401 505,204 252,602 126,301 378,904 189,452 94,726 47,363 142,090 71,045 213,136 106,568 53,284 26,642 13,321 39,964 19,982 9,991 29,974 14,987 44,962 22,481 67,444 33,722 16,861 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127

More profiles

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