λ
Sigma Notebook

2,271,416

23 × 7 × 47 × 863
Abundant Even Composite

2,271,416 is even and not a perfect square. Its factorization is 2^3 × 7 × 47 × 863 and its 32 divisors sum to 4,976,640.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,976,640
Proper Divisor Sum 2,705,224
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2271407 ← → #2271419

Radix Representation

Decimal 2271416
Binary 1000101010100010111000 (22 bits)
Octal 0o10524270
Hexadecimal 0x22A8B8

Divisor Catalog (32)

1 2 4 7 8 14 28 47 56 94 188 329 376 658 863 1,316 1,726 2,632 3,452 6,041 6,904 12,082 24,164 40,561 48,328 81,122 162,244 283,927 324,488 567,854 1,135,708 2,271,416

Collatz Trajectory (86 steps to reach 1)

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

2,271,416 1,135,708 567,854 283,927 851,782 425,891 1,277,674 638,837 1,916,512 958,256 479,128 239,564 119,782 59,891 179,674 89,837 269,512 134,756 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67

More profiles

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