514,830

2 × 3 × 5 × 131²

514,830 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 131^2 and its 24 divisors sum to 1,245,096.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 131^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,245,096

Proper Divisor Sum 730,266

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #514823 ← → #514831

Radix Representation

Decimal	514830
Binary	1111101101100001110 (19 bits)
Octal	0o1755416
Hexadecimal	0x7DB0E

Divisor Catalog (24)

1 2 3 5 6 10 15 30 131 262 393 655 786 1,310 1,965 3,930 17,161 34,322 51,483 85,805 102,966 171,610 257,415 514,830

Collatz Trajectory (58 steps to reach 1)

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

514,830 257,415 772,246 386,123 1,158,370 579,185 1,737,556 868,778 434,389 1,303,168 651,584 325,792 162,896 81,448 40,724 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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