λ
Harmonic Matrix

7,230,316

22 × 31 × 58309
Deficient Even Composite

7,230,316 has digital root 4. The neighboring primes are 7230299 and 7230319; its proper-divisor sum differs from the starting integer by -1,399,192.

Prime Factor Structure

Factorization String 2^2 × 31 × 58309
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,061,440
Proper Divisor Sum 5,831,124
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7230299 ← → #7230319

Radix Representation

Decimal 7230316
Binary 11011100101001101101100 (23 bits)
Octal 0o33451554
Hexadecimal 0x6E536C

Divisor Catalog (12)

1 2 4 31 62 124 58,309 116,618 233,236 1,807,579 3,615,158 7,230,316

Collatz Trajectory (142 steps to reach 1)

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

7,230,316 3,615,158 1,807,579 5,422,738 2,711,369 8,134,108 4,067,054 2,033,527 6,100,582 3,050,291 9,150,874 4,575,437 13,726,312 6,863,156 3,431,578 1,715,789 5,147,368 2,573,684 1,286,842 643,421 1,930,264 965,132 482,566 241,283 723,850 361,925 1,085,776 542,888 271,444 135,722 67,861 203,584 101,792 50,896 25,448 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654

More profiles

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