λ
Harmonic Matrix

3,700,243

191 × 19373
Deficient Odd Composite

3,700,243 has digital root 1. The neighboring primes are 3700241 and 3700261; its proper-divisor sum differs from the starting integer by -3,680,678.

Prime Factor Structure

Factorization String 191 × 19373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,719,808
Proper Divisor Sum 19,565
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3700241 ← → #3700261

Radix Representation

Decimal 3700243
Binary 1110000111011000010011 (22 bits)
Octal 0o16073023
Hexadecimal 0x387613

Divisor Catalog (4)

1 191 19,373 3,700,243

Collatz Trajectory (203 steps to reach 1)

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

3,700,243 11,100,730 5,550,365 16,651,096 8,325,548 4,162,774 2,081,387 6,244,162 3,122,081 9,366,244 4,683,122 2,341,561 7,024,684 3,512,342 1,756,171 5,268,514 2,634,257 7,902,772 3,951,386 1,975,693 5,927,080 2,963,540 1,481,770 740,885 2,222,656 1,111,328 555,664 277,832 138,916 69,458 34,729 104,188 52,094 26,047 78,142 39,071 117,214 58,607 175,822 87,911 263,734 131,867 395,602 197,801 593,404 296,702 148,351 445,054 222,527 667,582 333,791 1,001,374 500,687 1,502,062 751,031 2,253,094 1,126,547 3,379,642 1,689,821 5,069,464

More profiles

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