λ
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6,239,016

23 × 32 × 7 × 12379
Abundant Even Composite

6,239,016 factors as 2^3 × 3^2 × 7 × 12379. Its 48 positive divisors give a proper-divisor sum of 13,073,784, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 12379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,312,800
Proper Divisor Sum 13,073,784
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6238987 ← → #6239033

Radix Representation

Decimal 6239016
Binary 10111110011001100101000 (23 bits)
Octal 0o27631450
Hexadecimal 0x5F3328

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 12,379 24,758 37,137 49,516 74,274 86,653 99,032 111,411 148,548 173,306 222,822 259,959 297,096 346,612 445,644 519,918 693,224 779,877 891,288 1,039,836 1,559,754 2,079,672 3,119,508 6,239,016

Collatz Trajectory (152 steps to reach 1)

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

6,239,016 3,119,508 1,559,754 779,877 2,339,632 1,169,816 584,908 292,454 146,227 438,682 219,341 658,024 329,012 164,506 82,253 246,760 123,380 61,690 30,845 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100

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