λ
Harmonic Matrix

2,094,732

22 × 32 × 31 × 1877
Abundant Even Composite

2,094,732 has digital root 9. The neighboring primes are 2094727 and 2094737; its proper-divisor sum differs from the starting integer by 1,279,272.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 31 × 1877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,468,736
Proper Divisor Sum 3,374,004
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2094727 ← → #2094737

Radix Representation

Decimal 2094732
Binary 111111111011010001100 (21 bits)
Octal 0o7773214
Hexadecimal 0x1FF68C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1,116 1,877 3,754 5,631 7,508 11,262 16,893 22,524 33,786 58,187 67,572 116,374 174,561 232,748 349,122 523,683 698,244 1,047,366 2,094,732

Collatz Trajectory (166 steps to reach 1)

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

2,094,732 1,047,366 523,683 1,571,050 785,525 2,356,576 1,178,288 589,144 294,572 147,286 73,643 220,930 110,465 331,396 165,698 82,849 248,548 124,274 62,137 186,412 93,206 46,603 139,810 69,905 209,716 104,858 52,429 157,288 78,644 39,322 19,661 58,984 29,492 14,746 7,373 22,120 11,060 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376

More profiles

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