λ
Ratio Atlas

2,781,109

2781109
Deficient Odd Prime

2,781,109 factors as 2781109. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2781109
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,781,110
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2781089 ← → #2781133

Radix Representation

Decimal 2781109
Binary 1010100110111110110101 (22 bits)
Octal 0o12467665
Hexadecimal 0x2A6FB5

Divisor Catalog (2)

Collatz Trajectory (81 steps to reach 1)

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

2,781,109 8,343,328 4,171,664 2,085,832 1,042,916 521,458 260,729 782,188 391,094 195,547 586,642 293,321 879,964 439,982 219,991 659,974 329,987 989,962 494,981 1,484,944 742,472 371,236 185,618 92,809 278,428 139,214 69,607 208,822 104,411 313,234 156,617 469,852 234,926 117,463 352,390 176,195 528,586 264,293 792,880 396,440 198,220 99,110 49,555 148,666 74,333 223,000 111,500 55,750 27,875 83,626 41,813 125,440 62,720 31,360 15,680 7,840 3,920 1,960 980 490

More profiles

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