27,410,411

7 × 23 × 61 × 2791

27,410,411 factors as 7 × 23 × 61 × 2791. Its 16 positive divisors give a proper-divisor sum of 5,825,557, so this integer is deficient. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 7 × 23 × 61 × 2791

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 33,235,968

Proper Divisor Sum 5,825,557

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #27410401 ← → #27410413

Radix Representation

Decimal	27410411
Binary	1101000100011111111101011 (25 bits)
Octal	0o150437753
Hexadecimal	0x1A23FEB

Divisor Catalog (16)

1 7 23 61 161 427 1,403 2,791 9,821 19,537 64,193 170,251 449,351 1,191,757 3,915,773 27,410,411

Collatz Trajectory (286 steps to reach 1)

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

27,410,411 82,231,234 41,115,617 123,346,852 61,673,426 30,836,713 92,510,140 46,255,070 23,127,535 69,382,606 34,691,303 104,073,910 52,036,955 156,110,866 78,055,433 234,166,300 117,083,150 58,541,575 175,624,726 87,812,363 263,437,090 131,718,545 395,155,636 197,577,818 98,788,909 296,366,728 148,183,364 74,091,682 37,045,841 111,137,524 55,568,762 27,784,381 83,353,144 41,676,572 20,838,286 10,419,143 31,257,430 15,628,715 46,886,146 23,443,073 70,329,220 35,164,610 17,582,305 52,746,916 26,373,458 13,186,729 39,560,188 19,780,094 9,890,047 29,670,142 14,835,071 44,505,214 22,252,607 66,757,822 33,378,911 100,136,734 50,068,367 150,205,102 75,102,551 225,307,654

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