λ
Harmonic Matrix

9,463,626

2 × 32 × 23 × 22859
Abundant Even Composite

9,463,626 has digital root 9. The neighboring primes are 9463609 and 9463631; its proper-divisor sum differs from the starting integer by 2,469,708.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 22859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,396,960
Proper Divisor Sum 11,933,334
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9463609 ← → #9463631

Radix Representation

Decimal 9463626
Binary 100100000110011101001010 (24 bits)
Octal 0o44063512
Hexadecimal 0x90674A

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 22,859 45,718 68,577 137,154 205,731 411,462 525,757 1,051,514 1,577,271 3,154,542 4,731,813 9,463,626

Collatz Trajectory (238 steps to reach 1)

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

9,463,626 4,731,813 14,195,440 7,097,720 3,548,860 1,774,430 887,215 2,661,646 1,330,823 3,992,470 1,996,235 5,988,706 2,994,353 8,983,060 4,491,530 2,245,765 6,737,296 3,368,648 1,684,324 842,162 421,081 1,263,244 631,622 315,811 947,434 473,717 1,421,152 710,576 355,288 177,644 88,822 44,411 133,234 66,617 199,852 99,926 49,963 149,890 74,945 224,836 112,418 56,209 168,628 84,314 42,157 126,472 63,236 31,618 15,809 47,428 23,714 11,857 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006

More profiles

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