λ
Harmonic Matrix

2,837,038

2 × 373 × 3803
Deficient Even Composite

2,837,038 has digital root 4. The neighboring primes are 2837033 and 2837039; its proper-divisor sum differs from the starting integer by -1,405,988.

Prime Factor Structure

Factorization String 2 × 373 × 3803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,268,088
Proper Divisor Sum 1,431,050
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2837033 ← → #2837039

Radix Representation

Decimal 2837038
Binary 1010110100101000101110 (22 bits)
Octal 0o12645056
Hexadecimal 0x2B4A2E

Divisor Catalog (8)

1 2 373 746 3,803 7,606 1,418,519 2,837,038

Collatz Trajectory (244 steps to reach 1)

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

2,837,038 1,418,519 4,255,558 2,127,779 6,383,338 3,191,669 9,575,008 4,787,504 2,393,752 1,196,876 598,438 299,219 897,658 448,829 1,346,488 673,244 336,622 168,311 504,934 252,467 757,402 378,701 1,136,104 568,052 284,026 142,013 426,040 213,020 106,510 53,255 159,766 79,883 239,650 119,825 359,476 179,738 89,869 269,608 134,804 67,402 33,701 101,104 50,552 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998

More profiles

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