λ
Harmonic Matrix

2,645,846

2 × 7 × 17 × 11117
Deficient Even Composite

2,645,846 has digital root 8. The neighboring primes are 2645843 and 2645849; its proper-divisor sum differs from the starting integer by -488,716.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 11117
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,802,976
Proper Divisor Sum 2,157,130
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2645843 ← → #2645849

Radix Representation

Decimal 2645846
Binary 1010000101111101010110 (22 bits)
Octal 0o12057526
Hexadecimal 0x285F56

Divisor Catalog (16)

1 2 7 14 17 34 119 238 11,117 22,234 77,819 155,638 188,989 377,978 1,322,923 2,645,846

Collatz Trajectory (143 steps to reach 1)

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

2,645,846 1,322,923 3,968,770 1,984,385 5,953,156 2,976,578 1,488,289 4,464,868 2,232,434 1,116,217 3,348,652 1,674,326 837,163 2,511,490 1,255,745 3,767,236 1,883,618 941,809 2,825,428 1,412,714 706,357 2,119,072 1,059,536 529,768 264,884 132,442 66,221 198,664 99,332 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467

More profiles

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