λ
Harmonic Matrix

1,867,738

2 × 19 × 23 × 2137
Deficient Even Composite

1,867,738 has digital root 4. The neighboring primes are 1867729 and 1867751; its proper-divisor sum differs from the starting integer by -656,756.

Prime Factor Structure

Factorization String 2 × 19 × 23 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,078,720
Proper Divisor Sum 1,210,982
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #1867729 ← → #1867751

Radix Representation

Decimal 1867738
Binary 111000111111111011010 (21 bits)
Octal 0o7077732
Hexadecimal 0x1C7FDA

Divisor Catalog (16)

1 2 19 23 38 46 437 874 2,137 4,274 40,603 49,151 81,206 98,302 933,869 1,867,738

Collatz Trajectory (109 steps to reach 1)

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

1,867,738 933,869 2,801,608 1,400,804 700,402 350,201 1,050,604 525,302 262,651 787,954 393,977 1,181,932 590,966 295,483 886,450 443,225 1,329,676 664,838 332,419 997,258 498,629 1,495,888 747,944 373,972 186,986 93,493 280,480 140,240 70,120 35,060 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978

More profiles

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