λ
Harmonic Matrix

8,172,141

3 × 2724047
Deficient Odd Composite

8,172,141 has digital root 6. The neighboring primes are 8172139 and 8172167; its proper-divisor sum differs from the starting integer by -5,448,090.

Prime Factor Structure

Factorization String 3 × 2724047
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,896,192
Proper Divisor Sum 2,724,051
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8172139 ← → #8172167

Radix Representation

Decimal 8172141
Binary 11111001011001001101101 (23 bits)
Octal 0o37131155
Hexadecimal 0x7CB26D

Divisor Catalog (4)

1 3 2,724,047 8,172,141

Collatz Trajectory (168 steps to reach 1)

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

8,172,141 24,516,424 12,258,212 6,129,106 3,064,553 9,193,660 4,596,830 2,298,415 6,895,246 3,447,623 10,342,870 5,171,435 15,514,306 7,757,153 23,271,460 11,635,730 5,817,865 17,453,596 8,726,798 4,363,399 13,090,198 6,545,099 19,635,298 9,817,649 29,452,948 14,726,474 7,363,237 22,089,712 11,044,856 5,522,428 2,761,214 1,380,607 4,141,822 2,070,911 6,212,734 3,106,367 9,319,102 4,659,551 13,978,654 6,989,327 20,967,982 10,483,991 31,451,974 15,725,987 47,177,962 23,588,981 70,766,944 35,383,472 17,691,736 8,845,868 4,422,934 2,211,467 6,634,402 3,317,201 9,951,604 4,975,802 2,487,901 7,463,704 3,731,852 1,865,926

More profiles

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