λ
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Atlas › Integer Profiles › Node 6,239,478

6,239,478

2 × 3 × 7 × 53 × 2803
Abundant Even Composite

6,239,478 factors as 2 × 3 × 7 × 53 × 2803. Its 32 positive divisors give a proper-divisor sum of 8,296,458, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 53 × 2803
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,535,936
Proper Divisor Sum 8,296,458
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6239473 ← → #6239489

Radix Representation

Decimal 6239478
Binary 10111110011010011110110 (23 bits)
Octal 0o27632366
Hexadecimal 0x5F34F6

Divisor Catalog (32)

1 2 3 6 7 14 21 42 53 106 159 318 371 742 1,113 2,226 2,803 5,606 8,409 16,818 19,621 39,242 58,863 117,726 148,559 297,118 445,677 891,354 1,039,913 2,079,826 3,119,739 6,239,478

Collatz Trajectory (240 steps to reach 1)

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

6,239,478 3,119,739 9,359,218 4,679,609 14,038,828 7,019,414 3,509,707 10,529,122 5,264,561 15,793,684 7,896,842 3,948,421 11,845,264 5,922,632 2,961,316 1,480,658 740,329 2,220,988 1,110,494 555,247 1,665,742 832,871 2,498,614 1,249,307 3,747,922 1,873,961 5,621,884 2,810,942 1,405,471 4,216,414 2,108,207 6,324,622 3,162,311 9,486,934 4,743,467 14,230,402 7,115,201 21,345,604 10,672,802 5,336,401 16,009,204 8,004,602 4,002,301 12,006,904 6,003,452 3,001,726 1,500,863 4,502,590 2,251,295 6,753,886 3,376,943 10,130,830 5,065,415 15,196,246 7,598,123 22,794,370 11,397,185 34,191,556 17,095,778 8,547,889

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