8,432,032

2⁵ × 7 × 37643

8,432,032 has the prime decomposition 2^5 × 7 × 37643. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 37643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,972,576

Proper Divisor Sum 10,540,544

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8432003 ← → #8432033

Radix Representation

Decimal	8432032
Binary	100000001010100110100000 (24 bits)
Octal	0o40124640
Hexadecimal	0x80A9A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 37,643 75,286 150,572 263,501 301,144 527,002 602,288 1,054,004 1,204,576 2,108,008 4,216,016 8,432,032

Collatz Trajectory (106 steps to reach 1)

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

8,432,032 4,216,016 2,108,008 1,054,004 527,002 263,501 790,504 395,252 197,626 98,813 296,440 148,220 74,110 37,055 111,166 55,583 166,750 83,375 250,126 125,063 375,190 187,595 562,786 281,393 844,180 422,090 211,045 633,136 316,568 158,284 79,142 39,571 118,714 59,357 178,072 89,036 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915

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