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2,240,448

26 × 3 × 7 × 1667
Abundant Even Composite

2,240,448 factors as 2^6 × 3 × 7 × 1667. Its 56 positive divisors give a proper-divisor sum of 4,538,304, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 1667
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 6,778,752
Proper Divisor Sum 4,538,304
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2240431 ← → #2240449

Radix Representation

Decimal 2240448
Binary 1000100010111111000000 (22 bits)
Octal 0o10427700
Hexadecimal 0x222FC0

Divisor Catalog (56)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1,344 1,667 3,334 5,001 6,668 10,002 11,669 13,336 20,004 23,338 26,672 35,007 40,008 46,676 53,344 70,014 80,016 93,352 106,688 140,028 160,032 186,704 280,056 320,064 373,408 560,112 746,816 1,120,224 2,240,448

Collatz Trajectory (86 steps to reach 1)

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

2,240,448 1,120,224 560,112 280,056 140,028 70,014 35,007 105,022 52,511 157,534 78,767 236,302 118,151 354,454 177,227 531,682 265,841 797,524 398,762 199,381 598,144 299,072 149,536 74,768 37,384 18,692 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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