λ
Ratio Atlas

6,821,759

7 × 974537
Deficient Odd Composite

6,821,759 factors as 7 × 974537. Its 4 positive divisors give a proper-divisor sum of 974,545, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 7 × 974537
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,796,304
Proper Divisor Sum 974,545
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6821753 ← → #6821791

Radix Representation

Decimal 6821759
Binary 11010000001011101111111 (23 bits)
Octal 0o32013577
Hexadecimal 0x68177F

Divisor Catalog (4)

1 7 974,537 6,821,759

Collatz Trajectory (222 steps to reach 1)

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

6,821,759 20,465,278 10,232,639 30,697,918 15,348,959 46,046,878 23,023,439 69,070,318 34,535,159 103,605,478 51,802,739 155,408,218 77,704,109 233,112,328 116,556,164 58,278,082 29,139,041 87,417,124 43,708,562 21,854,281 65,562,844 32,781,422 16,390,711 49,172,134 24,586,067 73,758,202 36,879,101 110,637,304 55,318,652 27,659,326 13,829,663 41,488,990 20,744,495 62,233,486 31,116,743 93,350,230 46,675,115 140,025,346 70,012,673 210,038,020 105,019,010 52,509,505 157,528,516 78,764,258 39,382,129 118,146,388 59,073,194 29,536,597 88,609,792 44,304,896 22,152,448 11,076,224 5,538,112 2,769,056 1,384,528 692,264 346,132 173,066 86,533 259,600

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