21,649,216

2⁶ × 338269

21,649,216 factors as 2^6 × 338269. Its 14 positive divisors give a proper-divisor sum of 21,311,074, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^6 × 338269

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 42,960,290

Proper Divisor Sum 21,311,074

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #21649207 ← → #21649219

Radix Representation

Decimal	21649216
Binary	1010010100101011101000000 (25 bits)
Octal	0o122453500
Hexadecimal	0x14A5740

Divisor Catalog (14)

1 2 4 8 16 32 64 338,269 676,538 1,353,076 2,706,152 5,412,304 10,824,608 21,649,216

Collatz Trajectory (66 steps to reach 1)

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

21,649,216 10,824,608 5,412,304 2,706,152 1,353,076 676,538 338,269 1,014,808 507,404 253,702 126,851 380,554 190,277 570,832 285,416 142,708 71,354 35,677 107,032 53,516 26,758 13,379 40,138 20,069 60,208 30,104 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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