λ
Harmonic Matrix

7,643,270

2 × 5 × 764327
Deficient Even Composite

7,643,270 has digital root 2. The neighboring primes are 7643257 and 7643287; its proper-divisor sum differs from the starting integer by -1,528,636.

Prime Factor Structure

Factorization String 2 × 5 × 764327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,757,904
Proper Divisor Sum 6,114,634
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7643257 ← → #7643287

Radix Representation

Decimal 7643270
Binary 11101001010000010000110 (23 bits)
Octal 0o35120206
Hexadecimal 0x74A086

Divisor Catalog (8)

1 2 5 10 764,327 1,528,654 3,821,635 7,643,270

Collatz Trajectory (173 steps to reach 1)

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

7,643,270 3,821,635 11,464,906 5,732,453 17,197,360 8,598,680 4,299,340 2,149,670 1,074,835 3,224,506 1,612,253 4,836,760 2,418,380 1,209,190 604,595 1,813,786 906,893 2,720,680 1,360,340 680,170 340,085 1,020,256 510,128 255,064 127,532 63,766 31,883 95,650 47,825 143,476 71,738 35,869 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348

More profiles

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