λ
Prime Ledger

2,804,034

2 × 3 × 59 × 892
Abundant Even Composite

2,804,034 has the prime decomposition 2 × 3 × 59 × 89^2. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 89^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,767,920
Proper Divisor Sum 2,963,886
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2804029 ← → #2804041

Radix Representation

Decimal 2804034
Binary 1010101100100101000010 (22 bits)
Octal 0o12544502
Hexadecimal 0x2AC942

Divisor Catalog (24)

1 2 3 6 59 89 118 177 178 267 354 534 5,251 7,921 10,502 15,753 15,842 23,763 31,506 47,526 467,339 934,678 1,402,017 2,804,034

Collatz Trajectory (244 steps to reach 1)

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

2,804,034 1,402,017 4,206,052 2,103,026 1,051,513 3,154,540 1,577,270 788,635 2,365,906 1,182,953 3,548,860 1,774,430 887,215 2,661,646 1,330,823 3,992,470 1,996,235 5,988,706 2,994,353 8,983,060 4,491,530 2,245,765 6,737,296 3,368,648 1,684,324 842,162 421,081 1,263,244 631,622 315,811 947,434 473,717 1,421,152 710,576 355,288 177,644 88,822 44,411 133,234 66,617 199,852 99,926 49,963 149,890 74,945 224,836 112,418 56,209 168,628 84,314 42,157 126,472 63,236 31,618 15,809 47,428 23,714 11,857 35,572 17,786

More profiles

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