λ
Harmonic Matrix

9,330,113

13 × 83 × 8647
Deficient Odd Composite

9,330,113 has digital root 2. The neighboring primes are 9330107 and 9330119; its proper-divisor sum differs from the starting integer by -8,490,178.

Prime Factor Structure

Factorization String 13 × 83 × 8647
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,170,048
Proper Divisor Sum 839,935
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9330107 ← → #9330119

Radix Representation

Decimal 9330113
Binary 100011100101110111000001 (24 bits)
Octal 0o43456701
Hexadecimal 0x8E5DC1

Divisor Catalog (8)

1 13 83 1,079 8,647 112,411 717,701 9,330,113

Collatz Trajectory (132 steps to reach 1)

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

9,330,113 27,990,340 13,995,170 6,997,585 20,992,756 10,496,378 5,248,189 15,744,568 7,872,284 3,936,142 1,968,071 5,904,214 2,952,107 8,856,322 4,428,161 13,284,484 6,642,242 3,321,121 9,963,364 4,981,682 2,490,841 7,472,524 3,736,262 1,868,131 5,604,394 2,802,197 8,406,592 4,203,296 2,101,648 1,050,824 525,412 262,706 131,353 394,060 197,030 98,515 295,546 147,773 443,320 221,660 110,830 55,415 166,246 83,123 249,370 124,685 374,056 187,028 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182

More profiles

← Previous Integer #9,330,112 Browse Full Index Next Integer #9,330,114 →