λ
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Atlas › Integer Profiles › Node 69,782,350

69,782,350

2 × 52 × 11 × 71 × 1787
Abundant Even Composite

69,782,350 factors as 2 × 5^2 × 11 × 71 × 1787. Its 48 positive divisors give a proper-divisor sum of 73,887,026, so this integer is abundant. The Collatz stopping time is 321 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 71 × 1787
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 143,669,376
Proper Divisor Sum 73,887,026
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #69782347 ← → #69782351

Radix Representation

Decimal 69782350
Binary 100001010001100101101001110 (27 bits)
Octal 0o412145516
Hexadecimal 0x428CB4E

Divisor Catalog (48)

1 2 5 10 11 22 25 50 55 71 110 142 275 355 550 710 781 1,562 1,775 1,787 3,550 3,574 3,905 7,810 8,935 17,870 19,525 19,657 39,050 39,314 44,675 89,350 98,285 126,877 196,570 253,754 491,425 634,385 982,850 1,268,770 1,395,647 2,791,294 3,171,925 6,343,850 6,978,235 13,956,470 34,891,175 69,782,350

Collatz Trajectory (321 steps to reach 1)

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

69,782,350 34,891,175 104,673,526 52,336,763 157,010,290 78,505,145 235,515,436 117,757,718 58,878,859 176,636,578 88,318,289 264,954,868 132,477,434 66,238,717 198,716,152 99,358,076 49,679,038 24,839,519 74,518,558 37,259,279 111,777,838 55,888,919 167,666,758 83,833,379 251,500,138 125,750,069 377,250,208 188,625,104 94,312,552 47,156,276 23,578,138 11,789,069 35,367,208 17,683,604 8,841,802 4,420,901 13,262,704 6,631,352 3,315,676 1,657,838 828,919 2,486,758 1,243,379 3,730,138 1,865,069 5,595,208 2,797,604 1,398,802 699,401 2,098,204 1,049,102 524,551 1,573,654 786,827 2,360,482 1,180,241 3,540,724 1,770,362 885,181 2,655,544

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