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Atlas › Integer Profiles › Node 5,771,350

5,771,350

2 × 52 × 132 × 683
Abundant Even Composite

5,771,350 factors as 2 × 5^2 × 13^2 × 683. Its 36 positive divisors give a proper-divisor sum of 5,869,646, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 13^2 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,640,996
Proper Divisor Sum 5,869,646
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5771327 ← → #5771351

Radix Representation

Decimal 5771350
Binary 10110000001000001010110 (23 bits)
Octal 0o26010126
Hexadecimal 0x581056

Divisor Catalog (36)

1 2 5 10 13 25 26 50 65 130 169 325 338 650 683 845 1,366 1,690 3,415 4,225 6,830 8,450 8,879 17,075 17,758 34,150 44,395 88,790 115,427 221,975 230,854 443,950 577,135 1,154,270 2,885,675 5,771,350

Collatz Trajectory (69 steps to reach 1)

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

5,771,350 2,885,675 8,657,026 4,328,513 12,985,540 6,492,770 3,246,385 9,739,156 4,869,578 2,434,789 7,304,368 3,652,184 1,826,092 913,046 456,523 1,369,570 684,785 2,054,356 1,027,178 513,589 1,540,768 770,384 385,192 192,596 96,298 48,149 144,448 72,224 36,112 18,056 9,028 4,514 2,257 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024

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