λ
Harmonic Matrix

3,036,171

3 × 31 × 32647
Deficient Odd Composite

3,036,171 has digital root 3. The neighboring primes are 3036167 and 3036193; its proper-divisor sum differs from the starting integer by -1,893,398.

Prime Factor Structure

Factorization String 3 × 31 × 32647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,178,944
Proper Divisor Sum 1,142,773
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3036167 ← → #3036193

Radix Representation

Decimal 3036171
Binary 1011100101010000001011 (22 bits)
Octal 0o13452013
Hexadecimal 0x2E540B

Divisor Catalog (8)

1 3 31 93 32,647 97,941 1,012,057 3,036,171

Collatz Trajectory (89 steps to reach 1)

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

3,036,171 9,108,514 4,554,257 13,662,772 6,831,386 3,415,693 10,247,080 5,123,540 2,561,770 1,280,885 3,842,656 1,921,328 960,664 480,332 240,166 120,083 360,250 180,125 540,376 270,188 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059 96,178 48,089 144,268 72,134 36,067 108,202 54,101 162,304 81,152 40,576 20,288 10,144 5,072 2,536 1,268 634 317 952 476 238 119 358 179 538

More profiles

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