λ
Sigma Notebook

6,431,490

2 × 32 × 5 × 13 × 23 × 239
Abundant Even Composite

6,431,490 is even and not a perfect square. Its factorization is 2 × 3^2 × 5 × 13 × 23 × 239 and its 96 divisors sum to 18,869,760.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 23 × 239
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 18,869,760
Proper Divisor Sum 12,438,270
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6431483 ← → #6431501

Radix Representation

Decimal 6431490
Binary 11000100010001100000010 (23 bits)
Octal 0o30421402
Hexadecimal 0x622302

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 239 299 345 390 414 478 585 598 690 717 897 1,035 1,170 1,195 1,434 1,495 1,794 2,070 2,151 2,390 2,691 2,990 3,107 3,585 4,302 4,485 5,382 5,497 6,214 7,170 8,970 9,321

Collatz Trajectory (103 steps to reach 1)

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

6,431,490 3,215,745 9,647,236 4,823,618 2,411,809 7,235,428 3,617,714 1,808,857 5,426,572 2,713,286 1,356,643 4,069,930 2,034,965 6,104,896 3,052,448 1,526,224 763,112 381,556 190,778 95,389 286,168 143,084 71,542 35,771 107,314 53,657 160,972 80,486 40,243 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804

More profiles

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