λ
Ratio Atlas

2,741,196

22 × 3 × 29 × 7877
Abundant Even Composite

2,741,196 factors as 2^2 × 3 × 29 × 7877. Its 24 positive divisors give a proper-divisor sum of 3,876,324, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 7877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,617,520
Proper Divisor Sum 3,876,324
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2741183 ← → #2741201

Radix Representation

Decimal 2741196
Binary 1010011101001111001100 (22 bits)
Octal 0o12351714
Hexadecimal 0x29D3CC

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 7,877 15,754 23,631 31,508 47,262 94,524 228,433 456,866 685,299 913,732 1,370,598 2,741,196

Collatz Trajectory (63 steps to reach 1)

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

2,741,196 1,370,598 685,299 2,055,898 1,027,949 3,083,848 1,541,924 770,962 385,481 1,156,444 578,222 289,111 867,334 433,667 1,301,002 650,501 1,951,504 975,752 487,876 243,938 121,969 365,908 182,954 91,477 274,432 137,216 68,608 34,304 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

More profiles

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