82,829,296

2⁴ × 11 × 470621

Prime Factor Structure

Factorization String 2^4 × 11 × 470621

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 175,071,384

Proper Divisor Sum 92,242,088

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #82829293 ← → #82829297

Radix Representation

Decimal	82829296
Binary	100111011111101111111110000 (27 bits)
Octal	0o473757760
Hexadecimal	0x4EFDFF0

Divisor Catalog (20)

Collatz Trajectory (161 steps to reach 1)

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

82,829,296 41,414,648 20,707,324 10,353,662 5,176,831 15,530,494 7,765,247 23,295,742 11,647,871 34,943,614 17,471,807 52,415,422 26,207,711 78,623,134 39,311,567 117,934,702 58,967,351 176,902,054 88,451,027 265,353,082 132,676,541 398,029,624 199,014,812 99,507,406 49,753,703 149,261,110 74,630,555 223,891,666 111,945,833 335,837,500 167,918,750 83,959,375 251,878,126 125,939,063 377,817,190 188,908,595 566,725,786 283,362,893 850,088,680 425,044,340 212,522,170 106,261,085 318,783,256 159,391,628 79,695,814 39,847,907 119,543,722 59,771,861 179,315,584 89,657,792 44,828,896 22,414,448 11,207,224 5,603,612 2,801,806 1,400,903 4,202,710 2,101,355 6,304,066 3,152,033

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