λ
Zalai Atlas

8,062,808

23 × 13 × 77527
Abundant Even Composite

8,062,808 has the prime decomposition 2^3 × 13 × 77527. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 77527
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,280,880
Proper Divisor Sum 8,218,072
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8062799 ← → #8062823

Radix Representation

Decimal 8062808
Binary 11110110000011101011000 (23 bits)
Octal 0o36603530
Hexadecimal 0x7B0758

Divisor Catalog (16)

1 2 4 8 13 26 52 104 77,527 155,054 310,108 620,216 1,007,851 2,015,702 4,031,404 8,062,808

Collatz Trajectory (323 steps to reach 1)

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

8,062,808 4,031,404 2,015,702 1,007,851 3,023,554 1,511,777 4,535,332 2,267,666 1,133,833 3,401,500 1,700,750 850,375 2,551,126 1,275,563 3,826,690 1,913,345 5,740,036 2,870,018 1,435,009 4,305,028 2,152,514 1,076,257 3,228,772 1,614,386 807,193 2,421,580 1,210,790 605,395 1,816,186 908,093 2,724,280 1,362,140 681,070 340,535 1,021,606 510,803 1,532,410 766,205 2,298,616 1,149,308 574,654 287,327 861,982 430,991 1,292,974 646,487 1,939,462 969,731 2,909,194 1,454,597 4,363,792 2,181,896 1,090,948 545,474 272,737 818,212 409,106 204,553 613,660 306,830

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