λ
Harmonic Matrix

3,035,667

3 × 1011889
Deficient Odd Composite

3,035,667 has digital root 3. The neighboring primes are 3035653 and 3035677; its proper-divisor sum differs from the starting integer by -2,023,774.

Prime Factor Structure

Factorization String 3 × 1011889
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,047,560
Proper Divisor Sum 1,011,893
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3035653 ← → #3035677

Radix Representation

Decimal 3035667
Binary 1011100101001000010011 (22 bits)
Octal 0o13451023
Hexadecimal 0x2E5213

Divisor Catalog (4)

1 3 1,011,889 3,035,667

Collatz Trajectory (133 steps to reach 1)

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

3,035,667 9,107,002 4,553,501 13,660,504 6,830,252 3,415,126 1,707,563 5,122,690 2,561,345 7,684,036 3,842,018 1,921,009 5,763,028 2,881,514 1,440,757 4,322,272 2,161,136 1,080,568 540,284 270,142 135,071 405,214 202,607 607,822 303,911 911,734 455,867 1,367,602 683,801 2,051,404 1,025,702 512,851 1,538,554 769,277 2,307,832 1,153,916 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429 4,381,288 2,190,644 1,095,322 547,661 1,642,984 821,492 410,746 205,373 616,120 308,060 154,030 77,015 231,046 115,523

More profiles

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