λ
Prime Ledger

2,008,406

2 × 23 × 43661
Deficient Even Composite

2,008,406 has the prime decomposition 2 × 23 × 43661. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 43661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,143,664
Proper Divisor Sum 1,135,258
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2008403 ← → #2008421

Radix Representation

Decimal 2008406
Binary 111101010010101010110 (21 bits)
Octal 0o7522526
Hexadecimal 0x1EA556

Divisor Catalog (8)

1 2 23 46 43,661 87,322 1,004,203 2,008,406

Collatz Trajectory (140 steps to reach 1)

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

2,008,406 1,004,203 3,012,610 1,506,305 4,518,916 2,259,458 1,129,729 3,389,188 1,694,594 847,297 2,541,892 1,270,946 635,473 1,906,420 953,210 476,605 1,429,816 714,908 357,454 178,727 536,182 268,091 804,274 402,137 1,206,412 603,206 301,603 904,810 452,405 1,357,216 678,608 339,304 169,652 84,826 42,413 127,240 63,620 31,810 15,905 47,716 23,858 11,929 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743

More profiles

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