181,920

2⁵ × 3 × 5 × 379

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 574,560

Proper Divisor Sum 392,640

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #181919 ← → #181927

Radix Representation

Decimal	181920
Binary	101100011010100000 (18 bits)
Octal	0o543240
Hexadecimal	0x2C6A0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 379 480 758 1,137 1,516 1,895 2,274 3,032 3,790 4,548 5,685 6,064 7,580 9,096 11,370 12,128 15,160 18,192 22,740 30,320 36,384 45,480 60,640 90,960 181,920

Collatz Trajectory (41 steps to reach 1)

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

181,920 90,960 45,480 22,740 11,370 5,685 17,056 8,528 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 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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