λ
Harmonic Matrix

8,164,942

2 × 157 × 26003
Deficient Even Composite

8,164,942 has digital root 7. The neighboring primes are 8164939 and 8164943; its proper-divisor sum differs from the starting integer by -4,003,988.

Prime Factor Structure

Factorization String 2 × 157 × 26003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,325,896
Proper Divisor Sum 4,160,954
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8164939 ← → #8164943

Radix Representation

Decimal 8164942
Binary 11111001001011001001110 (23 bits)
Octal 0o37113116
Hexadecimal 0x7C964E

Divisor Catalog (8)

1 2 157 314 26,003 52,006 4,082,471 8,164,942

Collatz Trajectory (186 steps to reach 1)

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

8,164,942 4,082,471 12,247,414 6,123,707 18,371,122 9,185,561 27,556,684 13,778,342 6,889,171 20,667,514 10,333,757 31,001,272 15,500,636 7,750,318 3,875,159 11,625,478 5,812,739 17,438,218 8,719,109 26,157,328 13,078,664 6,539,332 3,269,666 1,634,833 4,904,500 2,452,250 1,226,125 3,678,376 1,839,188 919,594 459,797 1,379,392 689,696 344,848 172,424 86,212 43,106 21,553 64,660 32,330 16,165 48,496 24,248 12,124 6,062 3,031 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638

More profiles

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