λ
Integer Codex

6,672,848

24 × 7 × 13 × 4583
Abundant Even Composite

For 6,672,848, the 40 positive divisors have a total of 15,915,648. Removing 6,672,848 leaves 9,242,800, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 4583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,915,648
Proper Divisor Sum 9,242,800
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6672817 ← → #6672863

Radix Representation

Decimal 6672848
Binary 11001011101000111010000 (23 bits)
Octal 0o31350720
Hexadecimal 0x65D1D0

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 4,583 9,166 18,332 32,081 36,664 59,579 64,162 73,328 119,158 128,324 238,316 256,648 417,053 476,632 513,296 834,106 953,264 1,668,212 3,336,424 6,672,848

Collatz Trajectory (116 steps to reach 1)

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

6,672,848 3,336,424 1,668,212 834,106 417,053 1,251,160 625,580 312,790 156,395 469,186 234,593 703,780 351,890 175,945 527,836 263,918 131,959 395,878 197,939 593,818 296,909 890,728 445,364 222,682 111,341 334,024 167,012 83,506 41,753 125,260 62,630 31,315 93,946 46,973 140,920 70,460 35,230 17,615 52,846 26,423 79,270 39,635 118,906 59,453 178,360 89,180 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055

More profiles

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