λ
Ratio Atlas

27,684,079

27684079
Deficient Odd Prime

27,684,079 factors as 27684079. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 330 steps.

Prime Factor Structure

Factorization String 27684079
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 27,684,080
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #27684071 ← → #27684089

Radix Representation

Decimal 27684079
Binary 1101001100110110011101111 (25 bits)
Octal 0o151466357
Hexadecimal 0x1A66CEF

Divisor Catalog (2)

Collatz Trajectory (330 steps to reach 1)

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

27,684,079 83,052,238 41,526,119 124,578,358 62,289,179 186,867,538 93,433,769 280,301,308 140,150,654 70,075,327 210,225,982 105,112,991 315,338,974 157,669,487 473,008,462 236,504,231 709,512,694 354,756,347 1,064,269,042 532,134,521 1,596,403,564 798,201,782 399,100,891 1,197,302,674 598,651,337 1,795,954,012 897,977,006 448,988,503 1,346,965,510 673,482,755 2,020,448,266 1,010,224,133 3,030,672,400 1,515,336,200 757,668,100 378,834,050 189,417,025 568,251,076 284,125,538 142,062,769 426,188,308 213,094,154 106,547,077 319,641,232 159,820,616 79,910,308 39,955,154 19,977,577 59,932,732 29,966,366 14,983,183 44,949,550 22,474,775 67,424,326 33,712,163 101,136,490 50,568,245 151,704,736 75,852,368 37,926,184

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