λ
Ratio Atlas

380,526

2 × 3 × 63421
Abundant Even Composite

380,526 factors as 2 × 3 × 63421. Its 8 positive divisors give a proper-divisor sum of 380,538, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 3 × 63421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 761,064
Proper Divisor Sum 380,538
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #380503 ← → #380533

Radix Representation

Decimal 380526
Binary 1011100111001101110 (19 bits)
Octal 0o1347156
Hexadecimal 0x5CE6E

Divisor Catalog (8)

1 2 3 6 63,421 126,842 190,263 380,526

Collatz Trajectory (130 steps to reach 1)

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

380,526 190,263 570,790 285,395 856,186 428,093 1,284,280 642,140 321,070 160,535 481,606 240,803 722,410 361,205 1,083,616 541,808 270,904 135,452 67,726 33,863 101,590 50,795 152,386 76,193 228,580 114,290 57,145 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414

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