λ
Prime Ledger

2,000,855

5 × 29 × 13799
Deficient Odd Composite

2,000,855 has the prime decomposition 5 × 29 × 13799. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 29 × 13799
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,484,000
Proper Divisor Sum 483,145
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2000813 ← → #2000863

Radix Representation

Decimal 2000855
Binary 111101000011111010111 (21 bits)
Octal 0o7503727
Hexadecimal 0x1E87D7

Divisor Catalog (8)

1 5 29 145 13,799 68,995 400,171 2,000,855

Collatz Trajectory (202 steps to reach 1)

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

2,000,855 6,002,566 3,001,283 9,003,850 4,501,925 13,505,776 6,752,888 3,376,444 1,688,222 844,111 2,532,334 1,266,167 3,798,502 1,899,251 5,697,754 2,848,877 8,546,632 4,273,316 2,136,658 1,068,329 3,204,988 1,602,494 801,247 2,403,742 1,201,871 3,605,614 1,802,807 5,408,422 2,704,211 8,112,634 4,056,317 12,168,952 6,084,476 3,042,238 1,521,119 4,563,358 2,281,679 6,845,038 3,422,519 10,267,558 5,133,779 15,401,338 7,700,669 23,102,008 11,551,004 5,775,502 2,887,751 8,663,254 4,331,627 12,994,882 6,497,441 19,492,324 9,746,162 4,873,081 14,619,244 7,309,622 3,654,811 10,964,434 5,482,217 16,446,652

More profiles

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