λ
Harmonic Matrix

2,749,844

22 × 687461
Deficient Even Composite

2,749,844 has digital root 2. The neighboring primes are 2749823 and 2749847; its proper-divisor sum differs from the starting integer by -687,454.

Prime Factor Structure

Factorization String 2^2 × 687461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,812,234
Proper Divisor Sum 2,062,390
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2749823 ← → #2749847

Radix Representation

Decimal 2749844
Binary 1010011111010110010100 (22 bits)
Octal 0o12372624
Hexadecimal 0x29F594

Divisor Catalog (6)

1 2 4 687,461 1,374,922 2,749,844

Collatz Trajectory (107 steps to reach 1)

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

2,749,844 1,374,922 687,461 2,062,384 1,031,192 515,596 257,798 128,899 386,698 193,349 580,048 290,024 145,012 72,506 36,253 108,760 54,380 27,190 13,595 40,786 20,393 61,180 30,590 15,295 45,886 22,943 68,830 34,415 103,246 51,623 154,870 77,435 232,306 116,153 348,460 174,230 87,115 261,346 130,673 392,020 196,010 98,005 294,016 147,008 73,504 36,752 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909

More profiles

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