21,079,289

7 × 11² × 41 × 607

21,079,289 factors as 7 × 11^2 × 41 × 607. Its 24 positive divisors give a proper-divisor sum of 6,091,015, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 7 × 11^2 × 41 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 27,170,304

Proper Divisor Sum 6,091,015

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #21079271 ← → #21079297

Radix Representation

Decimal	21079289
Binary	1010000011010010011111001 (25 bits)
Octal	0o120322371
Hexadecimal	0x141A4F9

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

21,079,289 63,237,868 31,618,934 15,809,467 47,428,402 23,714,201 71,142,604 35,571,302 17,785,651 53,356,954 26,678,477 80,035,432 40,017,716 20,008,858 10,004,429 30,013,288 15,006,644 7,503,322 3,751,661 11,254,984 5,627,492 2,813,746 1,406,873 4,220,620 2,110,310 1,055,155 3,165,466 1,582,733 4,748,200 2,374,100 1,187,050 593,525 1,780,576 890,288 445,144 222,572 111,286 55,643 166,930 83,465 250,396 125,198 62,599 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807 59,422 29,711 89,134 44,567 133,702

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