λ
Harmonic Matrix

9,464,814

2 × 32 × 191 × 2753
Abundant Even Composite

9,464,814 has digital root 9. The neighboring primes are 9464783 and 9464837; its proper-divisor sum differs from the starting integer by 1,692,324.

Prime Factor Structure

Factorization String 2 × 3^2 × 191 × 2753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,621,952
Proper Divisor Sum 11,157,138
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9464783 ← → #9464837

Radix Representation

Decimal 9464814
Binary 100100000110101111101110 (24 bits)
Octal 0o44065756
Hexadecimal 0x906BEE

Divisor Catalog (24)

1 2 3 6 9 18 191 382 573 1,146 1,719 2,753 3,438 5,506 8,259 16,518 24,777 49,554 525,823 1,051,646 1,577,469 3,154,938 4,732,407 9,464,814

Collatz Trajectory (238 steps to reach 1)

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

9,464,814 4,732,407 14,197,222 7,098,611 21,295,834 10,647,917 31,943,752 15,971,876 7,985,938 3,992,969 11,978,908 5,989,454 2,994,727 8,984,182 4,492,091 13,476,274 6,738,137 20,214,412 10,107,206 5,053,603 15,160,810 7,580,405 22,741,216 11,370,608 5,685,304 2,842,652 1,421,326 710,663 2,131,990 1,065,995 3,197,986 1,598,993 4,796,980 2,398,490 1,199,245 3,597,736 1,798,868 899,434 449,717 1,349,152 674,576 337,288 168,644 84,322 42,161 126,484 63,242 31,621 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007

More profiles

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