60,009,768

2³ × 3³ × 7 × 13 × 43 × 71

60,009,768 factors as 2^3 × 3^3 × 7 × 13 × 43 × 71. Its 256 positive divisors give a proper-divisor sum of 152,879,832, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 13 × 43 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 256

Divisor Sum (σ) 212,889,600

Proper Divisor Sum 152,879,832

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #60009767 ← → #60009791

Radix Representation

Decimal	60009768
Binary	11100100111010110100101000 (26 bits)
Octal	0o344726450
Hexadecimal	0x393AD28

Divisor Catalog (60 of 256)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 43 52 54 56 63 71 72 78 84 86 91 104 108 117 126 129 142 156 168 172 182 189 213 216 234 252 258 273 284 301 312 344 351 364 378 387 426 468 497 504

Collatz Trajectory (207 steps to reach 1)

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

60,009,768 30,004,884 15,002,442 7,501,221 22,503,664 11,251,832 5,625,916 2,812,958 1,406,479 4,219,438 2,109,719 6,329,158 3,164,579 9,493,738 4,746,869 14,240,608 7,120,304 3,560,152 1,780,076 890,038 445,019 1,335,058 667,529 2,002,588 1,001,294 500,647 1,501,942 750,971 2,252,914 1,126,457 3,379,372 1,689,686 844,843 2,534,530 1,267,265 3,801,796 1,900,898 950,449 2,851,348 1,425,674 712,837 2,138,512 1,069,256 534,628 267,314 133,657 400,972 200,486 100,243 300,730 150,365 451,096 225,548 112,774 56,387 169,162 84,581 253,744 126,872 63,436

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