2,050,080

2⁵ × 3 × 5 × 4271

2,050,080 has the prime decomposition 2^5 × 3 × 5 × 4271. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 4271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,459,264

Proper Divisor Sum 4,409,184

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2050079 ← → #2050099

Radix Representation

Decimal	2050080
Binary	111110100100000100000 (21 bits)
Octal	0o7644040
Hexadecimal	0x1F4820

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4,271 8,542 12,813 17,084 21,355 25,626 34,168 42,710 51,252 64,065 68,336 85,420 102,504 128,130 136,672 170,840 205,008 256,260 341,680 410,016 512,520 683,360 1,025,040 2,050,080

Collatz Trajectory (52 steps to reach 1)

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

2,050,080 1,025,040 512,520 256,260 128,130 64,065 192,196 96,098 48,049 144,148 72,074 36,037 108,112 54,056 27,028 13,514 6,757 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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