λ
Harmonic Matrix

1,395,642

2 × 3 × 232607
Abundant Even Composite

1,395,642 has digital root 3. The neighboring primes are 1395629 and 1395643; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 232607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,791,296
Proper Divisor Sum 1,395,654
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1395629 ← → #1395643

Radix Representation

Decimal 1395642
Binary 101010100101110111010 (21 bits)
Octal 0o5245672
Hexadecimal 0x154BBA

Divisor Catalog (8)

1 2 3 6 232,607 465,214 697,821 1,395,642

Collatz Trajectory (155 steps to reach 1)

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

1,395,642 697,821 2,093,464 1,046,732 523,366 261,683 785,050 392,525 1,177,576 588,788 294,394 147,197 441,592 220,796 110,398 55,199 165,598 82,799 248,398 124,199 372,598 186,299 558,898 279,449 838,348 419,174 209,587 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210 22,105 66,316 33,158 16,579 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855

More profiles

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