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Atlas › Integer Profiles › Node 7,110,844

7,110,844

22 × 132 × 67 × 157
Deficient Even Composite

7,110,844 factors as 2^2 × 13^2 × 67 × 157. Its 36 positive divisors give a proper-divisor sum of 6,652,220, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 67 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,763,064
Proper Divisor Sum 6,652,220
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7110839 ← → #7110847

Radix Representation

Decimal 7110844
Binary 11011001000000010111100 (23 bits)
Octal 0o33100274
Hexadecimal 0x6C80BC

Divisor Catalog (36)

1 2 4 13 26 52 67 134 157 169 268 314 338 628 676 871 1,742 2,041 3,484 4,082 8,164 10,519 11,323 21,038 22,646 26,533 42,076 45,292 53,066 106,132 136,747 273,494 546,988 1,777,711 3,555,422 7,110,844

Collatz Trajectory (173 steps to reach 1)

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

7,110,844 3,555,422 1,777,711 5,333,134 2,666,567 7,999,702 3,999,851 11,999,554 5,999,777 17,999,332 8,999,666 4,499,833 13,499,500 6,749,750 3,374,875 10,124,626 5,062,313 15,186,940 7,593,470 3,796,735 11,390,206 5,695,103 17,085,310 8,542,655 25,627,966 12,813,983 38,441,950 19,220,975 57,662,926 28,831,463 86,494,390 43,247,195 129,741,586 64,870,793 194,612,380 97,306,190 48,653,095 145,959,286 72,979,643 218,938,930 109,469,465 328,408,396 164,204,198 82,102,099 246,306,298 123,153,149 369,459,448 184,729,724 92,364,862 46,182,431 138,547,294 69,273,647 207,820,942 103,910,471 311,731,414 155,865,707 467,597,122 233,798,561 701,395,684 350,697,842

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