λ
Harmonic Matrix

5,952,942

2 × 32 × 330719
Abundant Even Composite

5,952,942 has digital root 9. The neighboring primes are 5952911 and 5952949; its proper-divisor sum differs from the starting integer by 992,196.

Prime Factor Structure

Factorization String 2 × 3^2 × 330719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,898,080
Proper Divisor Sum 6,945,138
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5952911 ← → #5952949

Radix Representation

Decimal 5952942
Binary 10110101101010110101110 (23 bits)
Octal 0o26552656
Hexadecimal 0x5AD5AE

Divisor Catalog (12)

1 2 3 6 9 18 330,719 661,438 992,157 1,984,314 2,976,471 5,952,942

Collatz Trajectory (258 steps to reach 1)

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

5,952,942 2,976,471 8,929,414 4,464,707 13,394,122 6,697,061 20,091,184 10,045,592 5,022,796 2,511,398 1,255,699 3,767,098 1,883,549 5,650,648 2,825,324 1,412,662 706,331 2,118,994 1,059,497 3,178,492 1,589,246 794,623 2,383,870 1,191,935 3,575,806 1,787,903 5,363,710 2,681,855 8,045,566 4,022,783 12,068,350 6,034,175 18,102,526 9,051,263 27,153,790 13,576,895 40,730,686 20,365,343 61,096,030 30,548,015 91,644,046 45,822,023 137,466,070 68,733,035 206,199,106 103,099,553 309,298,660 154,649,330 77,324,665 231,973,996 115,986,998 57,993,499 173,980,498 86,990,249 260,970,748 130,485,374 65,242,687 195,728,062 97,864,031 293,592,094

More profiles

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