λ
Ratio Atlas

7,764,270

2 × 3 × 5 × 258809
Abundant Even Composite

7,764,270 factors as 2 × 3 × 5 × 258809. Its 16 positive divisors give a proper-divisor sum of 10,870,050, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 258809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,634,320
Proper Divisor Sum 10,870,050
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7764247 ← → #7764283

Radix Representation

Decimal 7764270
Binary 11101100111100100101110 (23 bits)
Octal 0o35474456
Hexadecimal 0x76792E

Divisor Catalog (16)

1 2 3 5 6 10 15 30 258,809 517,618 776,427 1,294,045 1,552,854 2,588,090 3,882,135 7,764,270

Collatz Trajectory (93 steps to reach 1)

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

7,764,270 3,882,135 11,646,406 5,823,203 17,469,610 8,734,805 26,204,416 13,102,208 6,551,104 3,275,552 1,637,776 818,888 409,444 204,722 102,361 307,084 153,542 76,771 230,314 115,157 345,472 172,736 86,368 43,184 21,592 10,796 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

More profiles

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