73,080,246

2 × 3 × 17 × 23 × 31151

73,080,246 factors as 2 × 3 × 17 × 23 × 31151. Its 32 positive divisors give a proper-divisor sum of 88,411,722, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 23 × 31151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 161,491,968

Proper Divisor Sum 88,411,722

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #73080233 ← → #73080247

Radix Representation

Decimal	73080246
Binary	100010110110001110110110110 (27 bits)
Octal	0o426616666
Hexadecimal	0x45B1DB6

Divisor Catalog (32)

Collatz Trajectory (140 steps to reach 1)

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

73,080,246 36,540,123 109,620,370 54,810,185 164,430,556 82,215,278 41,107,639 123,322,918 61,661,459 184,984,378 92,492,189 277,476,568 138,738,284 69,369,142 34,684,571 104,053,714 52,026,857 156,080,572 78,040,286 39,020,143 117,060,430 58,530,215 175,590,646 87,795,323 263,385,970 131,692,985 395,078,956 197,539,478 98,769,739 296,309,218 148,154,609 444,463,828 222,231,914 111,115,957 333,347,872 166,673,936 83,336,968 41,668,484 20,834,242 10,417,121 31,251,364 15,625,682 7,812,841 23,438,524 11,719,262 5,859,631 17,578,894 8,789,447 26,368,342 13,184,171 39,552,514 19,776,257 59,328,772 29,664,386 14,832,193 44,496,580 22,248,290 11,124,145 33,372,436 16,686,218

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