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5,770,008

23 × 33 × 26713
Abundant Even Composite

5,770,008 factors as 2^3 × 3^3 × 26713. Its 32 positive divisors give a proper-divisor sum of 10,258,392, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 26713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,028,400
Proper Divisor Sum 10,258,392
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5770003 ← → #5770013

Radix Representation

Decimal 5770008
Binary 10110000000101100011000 (23 bits)
Octal 0o26005430
Hexadecimal 0x580B18

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 26,713 53,426 80,139 106,852 160,278 213,704 240,417 320,556 480,834 641,112 721,251 961,668 1,442,502 1,923,336 2,885,004 5,770,008

Collatz Trajectory (214 steps to reach 1)

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

5,770,008 2,885,004 1,442,502 721,251 2,163,754 1,081,877 3,245,632 1,622,816 811,408 405,704 202,852 101,426 50,713 152,140 76,070 38,035 114,106 57,053 171,160 85,580 42,790 21,395 64,186 32,093 96,280 48,140 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106

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