12,827,536

2⁴ × 569 × 1409

12,827,536 factors as 2^4 × 569 × 1409. Its 20 positive divisors give a proper-divisor sum of 12,087,164, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^4 × 569 × 1409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 24,914,700

Proper Divisor Sum 12,087,164

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12827531 ← → #12827539

Radix Representation

Decimal	12827536
Binary	110000111011101110010000 (24 bits)
Octal	0o60735620
Hexadecimal	0xC3BB90

Divisor Catalog (20)

Collatz Trajectory (73 steps to reach 1)

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

12,827,536 6,413,768 3,206,884 1,603,442 801,721 2,405,164 1,202,582 601,291 1,803,874 901,937 2,705,812 1,352,906 676,453 2,029,360 1,014,680 507,340 253,670 126,835 380,506 190,253 570,760 285,380 142,690 71,345 214,036 107,018 53,509 160,528 80,264 40,132 20,066 10,033 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 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

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