λ
Harmonic Matrix

3,042,141

3 × 23 × 44089
Deficient Odd Composite

3,042,141 has digital root 6. The neighboring primes are 3042107 and 3042157; its proper-divisor sum differs from the starting integer by -1,851,642.

Prime Factor Structure

Factorization String 3 × 23 × 44089
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,232,640
Proper Divisor Sum 1,190,499
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3042107 ← → #3042157

Radix Representation

Decimal 3042141
Binary 1011100110101101011101 (22 bits)
Octal 0o13465535
Hexadecimal 0x2E6B5D

Divisor Catalog (8)

1 3 23 69 44,089 132,267 1,014,047 3,042,141

Collatz Trajectory (288 steps to reach 1)

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

3,042,141 9,126,424 4,563,212 2,281,606 1,140,803 3,422,410 1,711,205 5,133,616 2,566,808 1,283,404 641,702 320,851 962,554 481,277 1,443,832 721,916 360,958 180,479 541,438 270,719 812,158 406,079 1,218,238 609,119 1,827,358 913,679 2,741,038 1,370,519 4,111,558 2,055,779 6,167,338 3,083,669 9,251,008 4,625,504 2,312,752 1,156,376 578,188 289,094 144,547 433,642 216,821 650,464 325,232 162,616 81,308 40,654 20,327 60,982 30,491 91,474 45,737 137,212 68,606 34,303 102,910 51,455 154,366 77,183 231,550 115,775

More profiles

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