λ
Prime Ledger

8,662,006

2 × 43 × 47 × 2143
Deficient Even Composite

8,662,006 has the prime decomposition 2 × 43 × 47 × 2143. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 47 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,584,384
Proper Divisor Sum 4,922,378
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8661997 ← → #8662009

Radix Representation

Decimal 8662006
Binary 100001000010101111110110 (24 bits)
Octal 0o41025766
Hexadecimal 0x842BF6

Divisor Catalog (16)

1 2 43 47 86 94 2,021 2,143 4,042 4,286 92,149 100,721 184,298 201,442 4,331,003 8,662,006

Collatz Trajectory (168 steps to reach 1)

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

8,662,006 4,331,003 12,993,010 6,496,505 19,489,516 9,744,758 4,872,379 14,617,138 7,308,569 21,925,708 10,962,854 5,481,427 16,444,282 8,222,141 24,666,424 12,333,212 6,166,606 3,083,303 9,249,910 4,624,955 13,874,866 6,937,433 20,812,300 10,406,150 5,203,075 15,609,226 7,804,613 23,413,840 11,706,920 5,853,460 2,926,730 1,463,365 4,390,096 2,195,048 1,097,524 548,762 274,381 823,144 411,572 205,786 102,893 308,680 154,340 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157

More profiles

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