λ
Harmonic Matrix

7,031,595

3 × 5 × 468773
Deficient Odd Composite

7,031,595 has digital root 3. The neighboring primes are 7031573 and 7031597; its proper-divisor sum differs from the starting integer by -2,812,614.

Prime Factor Structure

Factorization String 3 × 5 × 468773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,250,576
Proper Divisor Sum 4,218,981
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7031573 ← → #7031597

Radix Representation

Decimal 7031595
Binary 11010110100101100101011 (23 bits)
Octal 0o32645453
Hexadecimal 0x6B4B2B

Divisor Catalog (8)

1 3 5 15 468,773 1,406,319 2,343,865 7,031,595

Collatz Trajectory (129 steps to reach 1)

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

7,031,595 21,094,786 10,547,393 31,642,180 15,821,090 7,910,545 23,731,636 11,865,818 5,932,909 17,798,728 8,899,364 4,449,682 2,224,841 6,674,524 3,337,262 1,668,631 5,005,894 2,502,947 7,508,842 3,754,421 11,263,264 5,631,632 2,815,816 1,407,908 703,954 351,977 1,055,932 527,966 263,983 791,950 395,975 1,187,926 593,963 1,781,890 890,945 2,672,836 1,336,418 668,209 2,004,628 1,002,314 501,157 1,503,472 751,736 375,868 187,934 93,967 281,902 140,951 422,854 211,427 634,282 317,141 951,424 475,712 237,856 118,928 59,464 29,732 14,866 7,433

More profiles

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