λ
Harmonic Matrix

242,815

5 × 48563
Deficient Odd Composite

242,815 has digital root 4. The neighboring primes are 242813 and 242819; its proper-divisor sum differs from the starting integer by -194,246.

Prime Factor Structure

Factorization String 5 × 48563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 291,384
Proper Divisor Sum 48,569
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #242813 ← → #242819

Radix Representation

Decimal 242815
Binary 111011010001111111 (18 bits)
Octal 0o732177
Hexadecimal 0x3B47F

Divisor Catalog (4)

1 5 48,563 242,815

Collatz Trajectory (150 steps to reach 1)

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

242,815 728,446 364,223 1,092,670 546,335 1,639,006 819,503 2,458,510 1,229,255 3,687,766 1,843,883 5,531,650 2,765,825 8,297,476 4,148,738 2,074,369 6,223,108 3,111,554 1,555,777 4,667,332 2,333,666 1,166,833 3,500,500 1,750,250 875,125 2,625,376 1,312,688 656,344 328,172 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702 147,851 443,554 221,777 665,332 332,666

More profiles

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