λ
Harmonic Matrix

1,632,906

2 × 33 × 11 × 2749
Abundant Even Composite

1,632,906 has digital root 9. The neighboring primes are 1632899 and 1632913; its proper-divisor sum differs from the starting integer by 694,188.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 2749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,960,000
Proper Divisor Sum 2,327,094
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1632899 ← → #1632913

Radix Representation

Decimal 1632906
Binary 110001110101010001010 (21 bits)
Octal 0o6165212
Hexadecimal 0x18EA8A

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 2,749 5,498 8,247 16,494 24,741 30,239 49,482 60,478 74,223 90,717 148,446 181,434 272,151 544,302 816,453 1,632,906

Collatz Trajectory (207 steps to reach 1)

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

1,632,906 816,453 2,449,360 1,224,680 612,340 306,170 153,085 459,256 229,628 114,814 57,407 172,222 86,111 258,334 129,167 387,502 193,751 581,254 290,627 871,882 435,941 1,307,824 653,912 326,956 163,478 81,739 245,218 122,609 367,828 183,914 91,957 275,872 137,936 68,968 34,484 17,242 8,621 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367

More profiles

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