λ
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2,285,808

24 × 3 × 7 × 6803
Abundant Even Composite

2,285,808 factors as 2^4 × 3 × 7 × 6803. Its 40 positive divisors give a proper-divisor sum of 4,463,760, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 6803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,749,568
Proper Divisor Sum 4,463,760
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2285797 ← → #2285813

Radix Representation

Decimal 2285808
Binary 1000101110000011110000 (22 bits)
Octal 0o10560360
Hexadecimal 0x22E0F0

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6,803 13,606 20,409 27,212 40,818 47,621 54,424 81,636 95,242 108,848 142,863 163,272 190,484 285,726 326,544 380,968 571,452 761,936 1,142,904 2,285,808

Collatz Trajectory (130 steps to reach 1)

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

2,285,808 1,142,904 571,452 285,726 142,863 428,590 214,295 642,886 321,443 964,330 482,165 1,446,496 723,248 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501

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