λ
Sigma Notebook

4,191,471

32 × 37 × 41 × 307
Deficient Odd Composite

4,191,471 is odd and not a perfect square. Its factorization is 3^2 × 37 × 41 × 307 and its 24 divisors sum to 6,390,384.

Prime Factor Structure

Factorization String 3^2 × 37 × 41 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,390,384
Proper Divisor Sum 2,198,913
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4191463 ← → #4191487

Radix Representation

Decimal 4191471
Binary 1111111111010011101111 (22 bits)
Octal 0o17772357
Hexadecimal 0x3FF4EF

Divisor Catalog (24)

Collatz Trajectory (304 steps to reach 1)

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

4,191,471 12,574,414 6,287,207 18,861,622 9,430,811 28,292,434 14,146,217 42,438,652 21,219,326 10,609,663 31,828,990 15,914,495 47,743,486 23,871,743 71,615,230 35,807,615 107,422,846 53,711,423 161,134,270 80,567,135 241,701,406 120,850,703 362,552,110 181,276,055 543,828,166 271,914,083 815,742,250 407,871,125 1,223,613,376 611,806,688 305,903,344 152,951,672 76,475,836 38,237,918 19,118,959 57,356,878 28,678,439 86,035,318 43,017,659 129,052,978 64,526,489 193,579,468 96,789,734 48,394,867 145,184,602 72,592,301 217,776,904 108,888,452 54,444,226 27,222,113 81,666,340 40,833,170 20,416,585 61,249,756 30,624,878 15,312,439 45,937,318 22,968,659 68,905,978 34,452,989

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