λ
Zalai Atlas

8,398,329

3 × 2799443
Deficient Odd Composite

8,398,329 has the prime decomposition 3 × 2799443. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2799443
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,197,776
Proper Divisor Sum 2,799,447
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8398321 ← → #8398337

Radix Representation

Decimal 8398329
Binary 100000000010010111111001 (24 bits)
Octal 0o40022771
Hexadecimal 0x8025F9

Divisor Catalog (4)

1 3 2,799,443 8,398,329

Collatz Trajectory (106 steps to reach 1)

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

8,398,329 25,194,988 12,597,494 6,298,747 18,896,242 9,448,121 28,344,364 14,172,182 7,086,091 21,258,274 10,629,137 31,887,412 15,943,706 7,971,853 23,915,560 11,957,780 5,978,890 2,989,445 8,968,336 4,484,168 2,242,084 1,121,042 560,521 1,681,564 840,782 420,391 1,261,174 630,587 1,891,762 945,881 2,837,644 1,418,822 709,411 2,128,234 1,064,117 3,192,352 1,596,176 798,088 399,044 199,522 99,761 299,284 149,642 74,821 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480

More profiles

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