2,005,025

5² × 11 × 23 × 317

2,005,025 has digital root 5. The neighboring primes are 2005021 and 2005027; its proper-divisor sum differs from the starting integer by -1,170,946.

Prime Factor Structure

Factorization String 5^2 × 11 × 23 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,839,104

Proper Divisor Sum 834,079

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2005021 ← → #2005027

Radix Representation

Decimal	2005025
Binary	111101001100000100001 (21 bits)
Octal	0o7514041
Hexadecimal	0x1E9821

Divisor Catalog (24)

1 5 11 23 25 55 115 253 275 317 575 1,265 1,585 3,487 6,325 7,291 7,925 17,435 36,455 80,201 87,175 182,275 401,005 2,005,025

Collatz Trajectory (184 steps to reach 1)

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

2,005,025 6,015,076 3,007,538 1,503,769 4,511,308 2,255,654 1,127,827 3,383,482 1,691,741 5,075,224 2,537,612 1,268,806 634,403 1,903,210 951,605 2,854,816 1,427,408 713,704 356,852 178,426 89,213 267,640 133,820 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122

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