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Atlas › Integer Profiles › Node 5,766,020

5,766,020

22 × 5 × 13 × 67 × 331
Abundant Even Composite

5,766,020 factors as 2^2 × 5 × 13 × 67 × 331. Its 48 positive divisors give a proper-divisor sum of 7,508,668, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 67 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,274,688
Proper Divisor Sum 7,508,668
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5766017 ← → #5766023

Radix Representation

Decimal 5766020
Binary 10101111111101110000100 (23 bits)
Octal 0o25775604
Hexadecimal 0x57FB84

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 331 335 662 670 871 1,324 1,340 1,655 1,742 3,310 3,484 4,303 4,355 6,620 8,606 8,710 17,212 17,420 21,515 22,177 43,030 44,354 86,060 88,708 110,885 221,770 288,301 443,540 576,602 1,153,204 1,441,505 2,883,010 5,766,020

Collatz Trajectory (69 steps to reach 1)

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

5,766,020 2,883,010 1,441,505 4,324,516 2,162,258 1,081,129 3,243,388 1,621,694 810,847 2,432,542 1,216,271 3,648,814 1,824,407 5,473,222 2,736,611 8,209,834 4,104,917 12,314,752 6,157,376 3,078,688 1,539,344 769,672 384,836 192,418 96,209 288,628 144,314 72,157 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170

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