λ
Harmonic Matrix

1,382,034

2 × 3 × 230339
Abundant Even Composite

1,382,034 has digital root 3. The neighboring primes are 1382023 and 1382039; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 230339
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,764,080
Proper Divisor Sum 1,382,046
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1382023 ← → #1382039

Radix Representation

Decimal 1382034
Binary 101010001011010010010 (21 bits)
Octal 0o5213222
Hexadecimal 0x151692

Divisor Catalog (8)

1 2 3 6 230,339 460,678 691,017 1,382,034

Collatz Trajectory (155 steps to reach 1)

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

1,382,034 691,017 2,073,052 1,036,526 518,263 1,554,790 777,395 2,332,186 1,166,093 3,498,280 1,749,140 874,570 437,285 1,311,856 655,928 327,964 163,982 81,991 245,974 122,987 368,962 184,481 553,444 276,722 138,361 415,084 207,542 103,771 311,314 155,657 466,972 233,486 116,743 350,230 175,115 525,346 262,673 788,020 394,010 197,005 591,016 295,508 147,754 73,877 221,632 110,816 55,408 27,704 13,852 6,926 3,463 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768

More profiles

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