λ
Zalai Atlas

7,102,802

2 × 7 × 181 × 2803
Deficient Even Composite

7,102,802 has the prime decomposition 2 × 7 × 181 × 2803. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 181 × 2803
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,247,872
Proper Divisor Sum 5,145,070
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7102801 ← → #7102807

Radix Representation

Decimal 7102802
Binary 11011000110000101010010 (23 bits)
Octal 0o33060522
Hexadecimal 0x6C6152

Divisor Catalog (16)

1 2 7 14 181 362 1,267 2,534 2,803 5,606 19,621 39,242 507,343 1,014,686 3,551,401 7,102,802

Collatz Trajectory (173 steps to reach 1)

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

7,102,802 3,551,401 10,654,204 5,327,102 2,663,551 7,990,654 3,995,327 11,985,982 5,992,991 17,978,974 8,989,487 26,968,462 13,484,231 40,452,694 20,226,347 60,679,042 30,339,521 91,018,564 45,509,282 22,754,641 68,263,924 34,131,962 17,065,981 51,197,944 25,598,972 12,799,486 6,399,743 19,199,230 9,599,615 28,798,846 14,399,423 43,198,270 21,599,135 64,797,406 32,398,703 97,196,110 48,598,055 145,794,166 72,897,083 218,691,250 109,345,625 328,036,876 164,018,438 82,009,219 246,027,658 123,013,829 369,041,488 184,520,744 92,260,372 46,130,186 23,065,093 69,195,280 34,597,640 17,298,820 8,649,410 4,324,705 12,974,116 6,487,058 3,243,529 9,730,588

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