60,008,064

2⁷ × 3 × 31 × 71²

60,008,064 factors as 2^7 × 3 × 31 × 71^2. Its 96 positive divisors give a proper-divisor sum of 106,880,256, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 31 × 71^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 166,888,320

Proper Divisor Sum 106,880,256

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #60008063 ← → #60008089

Radix Representation

Decimal	60008064
Binary	11100100111010011010000000 (26 bits)
Octal	0o344723200
Hexadecimal	0x393A680

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 16 24 31 32 48 62 64 71 93 96 124 128 142 186 192 213 248 284 372 384 426 496 568 744 852 992 1,136 1,488 1,704 1,984 2,201 2,272 2,976 3,408 3,968 4,402 4,544 5,041 5,952 6,603 6,816 8,804 9,088 10,082 11,904 13,206 13,632 15,123 17,608 20,164 26,412 27,264 30,246

Collatz Trajectory (114 steps to reach 1)

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

60,008,064 30,004,032 15,002,016 7,501,008 3,750,504 1,875,252 937,626 468,813 1,406,440 703,220 351,610 175,805 527,416 263,708 131,854 65,927 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582

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