120,832

2¹¹ × 59

120,832 has the prime decomposition 2^11 × 59. Its 2 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^11 × 59

Distinct Prime Factors 2

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 245,700

Proper Divisor Sum 124,868

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #120829 ← → #120833

Radix Representation

Decimal	120832
Binary	11101100000000000 (17 bits)
Octal	0o354000
Hexadecimal	0x1D800

Divisor Catalog (24)

1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1,024 1,888 2,048 3,776 7,552 15,104 30,208 60,416 120,832

Collatz Trajectory (43 steps to reach 1)

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

120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 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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