λ
Harmonic Matrix

8,918,734

2 × 11 × 53 × 7649
Deficient Even Composite

8,918,734 has digital root 4. The neighboring primes are 8918729 and 8918743; its proper-divisor sum differs from the starting integer by -2,965,868.

Prime Factor Structure

Factorization String 2 × 11 × 53 × 7649
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,871,600
Proper Divisor Sum 5,952,866
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8918729 ← → #8918743

Radix Representation

Decimal 8918734
Binary 100010000001011011001110 (24 bits)
Octal 0o42013316
Hexadecimal 0x8816CE

Divisor Catalog (16)

1 2 11 22 53 106 583 1,166 7,649 15,298 84,139 168,278 405,397 810,794 4,459,367 8,918,734

Collatz Trajectory (181 steps to reach 1)

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

8,918,734 4,459,367 13,378,102 6,689,051 20,067,154 10,033,577 30,100,732 15,050,366 7,525,183 22,575,550 11,287,775 33,863,326 16,931,663 50,794,990 25,397,495 76,192,486 38,096,243 114,288,730 57,144,365 171,433,096 85,716,548 42,858,274 21,429,137 64,287,412 32,143,706 16,071,853 48,215,560 24,107,780 12,053,890 6,026,945 18,080,836 9,040,418 4,520,209 13,560,628 6,780,314 3,390,157 10,170,472 5,085,236 2,542,618 1,271,309 3,813,928 1,906,964 953,482 476,741 1,430,224 715,112 357,556 178,778 89,389 268,168 134,084 67,042 33,521 100,564 50,282 25,141 75,424 37,712 18,856 9,428

More profiles

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