380,532

2² × 3 × 19 × 1669

380,532 has digital root 3. The neighboring primes are 380503 and 380533; its proper-divisor sum differs from the starting integer by 174,136.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 935,200

Proper Divisor Sum 554,668

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #380503 ← → #380533

Radix Representation

Decimal	380532
Binary	1011100111001110100 (19 bits)
Octal	0o1347164
Hexadecimal	0x5CE74

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 1,669 3,338 5,007 6,676 10,014 20,028 31,711 63,422 95,133 126,844 190,266 380,532

Collatz Trajectory (223 steps to reach 1)

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

380,532 190,266 95,133 285,400 142,700 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489

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