λ
Integer Codex

3,059,748

22 × 33 × 41 × 691
Abundant Even Composite

For 3,059,748, the 48 positive divisors have a total of 8,137,920. Removing 3,059,748 leaves 5,078,172, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41 × 691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,137,920
Proper Divisor Sum 5,078,172
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3059723 ← → #3059753

Radix Representation

Decimal 3059748
Binary 1011101011000000100100 (22 bits)
Octal 0o13530044
Hexadecimal 0x2EB024

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 691 738 1,107 1,382 1,476 2,073 2,214 2,764 4,146 4,428 6,219 8,292 12,438 18,657 24,876 28,331 37,314 56,662 74,628 84,993 113,324 169,986 254,979 339,972 509,958 764,937 1,019,916 1,529,874 3,059,748

Collatz Trajectory (195 steps to reach 1)

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

3,059,748 1,529,874 764,937 2,294,812 1,147,406 573,703 1,721,110 860,555 2,581,666 1,290,833 3,872,500 1,936,250 968,125 2,904,376 1,452,188 726,094 363,047 1,089,142 544,571 1,633,714 816,857 2,450,572 1,225,286 612,643 1,837,930 918,965 2,756,896 1,378,448 689,224 344,612 172,306 86,153 258,460 129,230 64,615 193,846 96,923 290,770 145,385 436,156 218,078 109,039 327,118 163,559 490,678 245,339 736,018 368,009 1,104,028 552,014 276,007 828,022 414,011 1,242,034 621,017 1,863,052 931,526 465,763 1,397,290 698,645

More profiles

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