λ
Integer Codex

2,271,727

17 × 133631
Deficient Odd Composite

For 2,271,727, the 4 positive divisors have a total of 2,405,376. Removing 2,271,727 leaves 133,649, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 133631
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,405,376
Proper Divisor Sum 133,649
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2271721 ← → #2271743

Radix Representation

Decimal 2271727
Binary 1000101010100111101111 (22 bits)
Octal 0o10524757
Hexadecimal 0x22A9EF

Divisor Catalog (4)

1 17 133,631 2,271,727

Collatz Trajectory (86 steps to reach 1)

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

2,271,727 6,815,182 3,407,591 10,222,774 5,111,387 15,334,162 7,667,081 23,001,244 11,500,622 5,750,311 17,250,934 8,625,467 25,876,402 12,938,201 38,814,604 19,407,302 9,703,651 29,110,954 14,555,477 43,666,432 21,833,216 10,916,608 5,458,304 2,729,152 1,364,576 682,288 341,144 170,572 85,286 42,643 127,930 63,965 191,896 95,948 47,974 23,987 71,962 35,981 107,944 53,972 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67

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