λ
Harmonic Matrix

3,026,425

52 × 17 × 7121
Deficient Odd Composite

3,026,425 has digital root 4. The neighboring primes are 3026423 and 3026431; its proper-divisor sum differs from the starting integer by -2,078,774.

Prime Factor Structure

Factorization String 5^2 × 17 × 7121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,974,076
Proper Divisor Sum 947,651
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3026423 ← → #3026431

Radix Representation

Decimal 3026425
Binary 1011100010110111111001 (22 bits)
Octal 0o13426771
Hexadecimal 0x2E2DF9

Divisor Catalog (12)

1 5 17 25 85 425 7,121 35,605 121,057 178,025 605,285 3,026,425

Collatz Trajectory (133 steps to reach 1)

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

3,026,425 9,079,276 4,539,638 2,269,819 6,809,458 3,404,729 10,214,188 5,107,094 2,553,547 7,660,642 3,830,321 11,490,964 5,745,482 2,872,741 8,618,224 4,309,112 2,154,556 1,077,278 538,639 1,615,918 807,959 2,423,878 1,211,939 3,635,818 1,817,909 5,453,728 2,726,864 1,363,432 681,716 340,858 170,429 511,288 255,644 127,822 63,911 191,734 95,867 287,602 143,801 431,404 215,702 107,851 323,554 161,777 485,332 242,666 121,333 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180

More profiles

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