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Atlas › Integer Profiles › Node 3,045,141

3,045,141

33 × 11 × 10253
Deficient Odd Composite

3,045,141 factors as 3^3 × 11 × 10253. Its 16 positive divisors give a proper-divisor sum of 1,876,779, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 10253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,921,920
Proper Divisor Sum 1,876,779
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3045139 ← → #3045157

Radix Representation

Decimal 3045141
Binary 1011100111011100010101 (22 bits)
Octal 0o13473425
Hexadecimal 0x2E7715

Divisor Catalog (16)

1 3 9 11 27 33 99 297 10,253 30,759 92,277 112,783 276,831 338,349 1,015,047 3,045,141

Collatz Trajectory (151 steps to reach 1)

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

3,045,141 9,135,424 4,567,712 2,283,856 1,141,928 570,964 285,482 142,741 428,224 214,112 107,056 53,528 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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