λ
Sigma Notebook

2,163,567

3 × 7 × 269 × 383
Deficient Odd Composite

2,163,567 is odd and not a perfect square. Its factorization is 3 × 7 × 269 × 383 and its 16 divisors sum to 3,317,760.

Prime Factor Structure

Factorization String 3 × 7 × 269 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,317,760
Proper Divisor Sum 1,154,193
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2163547 ← → #2163569

Radix Representation

Decimal 2163567
Binary 1000010000001101101111 (22 bits)
Octal 0o10201557
Hexadecimal 0x21036F

Divisor Catalog (16)

1 3 7 21 269 383 807 1,149 1,883 2,681 5,649 8,043 103,027 309,081 721,189 2,163,567

Collatz Trajectory (166 steps to reach 1)

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

2,163,567 6,490,702 3,245,351 9,736,054 4,868,027 14,604,082 7,302,041 21,906,124 10,953,062 5,476,531 16,429,594 8,214,797 24,644,392 12,322,196 6,161,098 3,080,549 9,241,648 4,620,824 2,310,412 1,155,206 577,603 1,732,810 866,405 2,599,216 1,299,608 649,804 324,902 162,451 487,354 243,677 731,032 365,516 182,758 91,379 274,138 137,069 411,208 205,604 102,802 51,401 154,204 77,102 38,551 115,654 57,827 173,482 86,741 260,224 130,112 65,056 32,528 16,264 8,132 4,066 2,033 6,100 3,050 1,525 4,576 2,288

More profiles

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