7,231,725

3² × 5² × 32141

7,231,725 has digital root 9. The neighboring primes are 7231709 and 7231747; its proper-divisor sum differs from the starting integer by -1,510,224.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 32141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,953,226

Proper Divisor Sum 5,721,501

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7231709 ← → #7231747

Radix Representation

Decimal	7231725
Binary	11011100101100011101101 (23 bits)
Octal	0o33454355
Hexadecimal	0x6E58ED

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 32,141 96,423 160,705 289,269 482,115 803,525 1,446,345 2,410,575 7,231,725

Collatz Trajectory (116 steps to reach 1)

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

7,231,725 21,695,176 10,847,588 5,423,794 2,711,897 8,135,692 4,067,846 2,033,923 6,101,770 3,050,885 9,152,656 4,576,328 2,288,164 1,144,082 572,041 1,716,124 858,062 429,031 1,287,094 643,547 1,930,642 965,321 2,895,964 1,447,982 723,991 2,171,974 1,085,987 3,257,962 1,628,981 4,886,944 2,443,472 1,221,736 610,868 305,434 152,717 458,152 229,076 114,538 57,269 171,808 85,904 42,952 21,476 10,738 5,369 16,108 8,054 4,027 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648

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