λ
Harmonic Matrix

9,252,074

2 × 132 × 31 × 883
Deficient Even Composite

9,252,074 has digital root 2. The neighboring primes are 9252041 and 9252079; its proper-divisor sum differs from the starting integer by -2,974,036.

Prime Factor Structure

Factorization String 2 × 13^2 × 31 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,530,112
Proper Divisor Sum 6,278,038
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9252041 ← → #9252079

Radix Representation

Decimal 9252074
Binary 100011010010110011101010 (24 bits)
Octal 0o43226352
Hexadecimal 0x8D2CEA

Divisor Catalog (24)

1 2 13 26 31 62 169 338 403 806 883 1,766 5,239 10,478 11,479 22,958 27,373 54,746 149,227 298,454 355,849 711,698 4,626,037 9,252,074

Collatz Trajectory (344 steps to reach 1)

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

9,252,074 4,626,037 13,878,112 6,939,056 3,469,528 1,734,764 867,382 433,691 1,301,074 650,537 1,951,612 975,806 487,903 1,463,710 731,855 2,195,566 1,097,783 3,293,350 1,646,675 4,940,026 2,470,013 7,410,040 3,705,020 1,852,510 926,255 2,778,766 1,389,383 4,168,150 2,084,075 6,252,226 3,126,113 9,378,340 4,689,170 2,344,585 7,033,756 3,516,878 1,758,439 5,275,318 2,637,659 7,912,978 3,956,489 11,869,468 5,934,734 2,967,367 8,902,102 4,451,051 13,353,154 6,676,577 20,029,732 10,014,866 5,007,433 15,022,300 7,511,150 3,755,575 11,266,726 5,633,363 16,900,090 8,450,045 25,350,136 12,675,068

More profiles

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