λ
Sigma Notebook

2,131,027

47 × 45341
Deficient Odd Composite

2,131,027 is odd and not a perfect square. Its factorization is 47 × 45341 and its 4 divisors sum to 2,176,416.

Prime Factor Structure

Factorization String 47 × 45341
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,176,416
Proper Divisor Sum 45,389
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2131013 ← → #2131039

Radix Representation

Decimal 2131027
Binary 1000001000010001010011 (22 bits)
Octal 0o10102123
Hexadecimal 0x208453

Divisor Catalog (4)

1 47 45,341 2,131,027

Collatz Trajectory (153 steps to reach 1)

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

2,131,027 6,393,082 3,196,541 9,589,624 4,794,812 2,397,406 1,198,703 3,596,110 1,798,055 5,394,166 2,697,083 8,091,250 4,045,625 12,136,876 6,068,438 3,034,219 9,102,658 4,551,329 13,653,988 6,826,994 3,413,497 10,240,492 5,120,246 2,560,123 7,680,370 3,840,185 11,520,556 5,760,278 2,880,139 8,640,418 4,320,209 12,960,628 6,480,314 3,240,157 9,720,472 4,860,236 2,430,118 1,215,059 3,645,178 1,822,589 5,467,768 2,733,884 1,366,942 683,471 2,050,414 1,025,207 3,075,622 1,537,811 4,613,434 2,306,717 6,920,152 3,460,076 1,730,038 865,019 2,595,058 1,297,529 3,892,588 1,946,294 973,147 2,919,442

More profiles

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