λ
Harmonic Matrix

9,310,693

7 × 593 × 2243
Deficient Odd Composite

9,310,693 has digital root 4. The neighboring primes are 9310681 and 9310733; its proper-divisor sum differs from the starting integer by -7,957,898.

Prime Factor Structure

Factorization String 7 × 593 × 2243
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,663,488
Proper Divisor Sum 1,352,795
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9310681 ← → #9310733

Radix Representation

Decimal 9310693
Binary 100011100001000111100101 (24 bits)
Octal 0o43410745
Hexadecimal 0x8E11E5

Divisor Catalog (8)

1 7 593 2,243 4,151 15,701 1,330,099 9,310,693

Collatz Trajectory (132 steps to reach 1)

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

9,310,693 27,932,080 13,966,040 6,983,020 3,491,510 1,745,755 5,237,266 2,618,633 7,855,900 3,927,950 1,963,975 5,891,926 2,945,963 8,837,890 4,418,945 13,256,836 6,628,418 3,314,209 9,942,628 4,971,314 2,485,657 7,456,972 3,728,486 1,864,243 5,592,730 2,796,365 8,389,096 4,194,548 2,097,274 1,048,637 3,145,912 1,572,956 786,478 393,239 1,179,718 589,859 1,769,578 884,789 2,654,368 1,327,184 663,592 331,796 165,898 82,949 248,848 124,424 62,212 31,106 15,553 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844

More profiles

← Previous Integer #9,310,692 Browse Full Index Next Integer #9,310,694 →