λ
Harmonic Matrix

2,250,378

2 × 32 × 13 × 59 × 163
Abundant Even Composite

2,250,378 has digital root 9. The neighboring primes are 2250359 and 2250397; its proper-divisor sum differs from the starting integer by 871,884.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 59 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,372,640
Proper Divisor Sum 3,122,262
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2250359 ← → #2250397

Radix Representation

Decimal 2250378
Binary 1000100101011010001010 (22 bits)
Octal 0o10453212
Hexadecimal 0x22568A

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 59 78 117 118 163 177 234 326 354 489 531 767 978 1,062 1,467 1,534 2,119 2,301 2,934 4,238 4,602 6,357 6,903 9,617 12,714 13,806 19,071 19,234 28,851 38,142 57,702 86,553 125,021 173,106 250,042 375,063 750,126 1,125,189 2,250,378

Collatz Trajectory (86 steps to reach 1)

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

2,250,378 1,125,189 3,375,568 1,687,784 843,892 421,946 210,973 632,920 316,460 158,230 79,115 237,346 118,673 356,020 178,010 89,005 267,016 133,508 66,754 33,377 100,132 50,066 25,033 75,100 37,550 18,775 56,326 28,163 84,490 42,245 126,736 63,368 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

More profiles

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