λ
Prime Ledger

2,250,762

2 × 3 × 375127
Abundant Even Composite

2,250,762 has the prime decomposition 2 × 3 × 375127. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 375127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,501,536
Proper Divisor Sum 2,250,774
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2250761 ← → #2250763

Radix Representation

Decimal 2250762
Binary 1000100101100000001010 (22 bits)
Octal 0o10454012
Hexadecimal 0x22580A

Divisor Catalog (8)

1 2 3 6 375,127 750,254 1,125,381 2,250,762

Collatz Trajectory (135 steps to reach 1)

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

2,250,762 1,125,381 3,376,144 1,688,072 844,036 422,018 211,009 633,028 316,514 158,257 474,772 237,386 118,693 356,080 178,040 89,020 44,510 22,255 66,766 33,383 100,150 50,075 150,226 75,113 225,340 112,670 56,335 169,006 84,503 253,510 126,755 380,266 190,133 570,400 285,200 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380

More profiles

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