λ
Modular Archive

8,005,985

5 × 13 × 123169
Deficient Odd Composite

The decimal integer 8,005,985 is 11110100010100101100001 in binary (23 bits), 36424541 in octal and 7A2961 in hexadecimal. Its digit sum is 35.

Prime Factor Structure

Factorization String 5 × 13 × 123169
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,346,280
Proper Divisor Sum 2,340,295
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8005957 ← → #8006003

Radix Representation

Decimal 8005985
Binary 11110100010100101100001 (23 bits)
Octal 0o36424541
Hexadecimal 0x7A2961

Divisor Catalog (8)

1 5 13 65 123,169 615,845 1,601,197 8,005,985

Collatz Trajectory (168 steps to reach 1)

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

8,005,985 24,017,956 12,008,978 6,004,489 18,013,468 9,006,734 4,503,367 13,510,102 6,755,051 20,265,154 10,132,577 30,397,732 15,198,866 7,599,433 22,798,300 11,399,150 5,699,575 17,098,726 8,549,363 25,648,090 12,824,045 38,472,136 19,236,068 9,618,034 4,809,017 14,427,052 7,213,526 3,606,763 10,820,290 5,410,145 16,230,436 8,115,218 4,057,609 12,172,828 6,086,414 3,043,207 9,129,622 4,564,811 13,694,434 6,847,217 20,541,652 10,270,826 5,135,413 15,406,240 7,703,120 3,851,560 1,925,780 962,890 481,445 1,444,336 722,168 361,084 180,542 90,271 270,814 135,407 406,222 203,111 609,334 304,667

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