λ
Harmonic Matrix

2,174,744

23 × 11 × 13 × 1901
Abundant Even Composite

2,174,744 has digital root 2. The neighboring primes are 2174741 and 2174771; its proper-divisor sum differs from the starting integer by 443,552.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 1901
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,793,040
Proper Divisor Sum 2,618,296
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2174741 ← → #2174771

Radix Representation

Decimal 2174744
Binary 1000010010111100011000 (22 bits)
Octal 0o10227430
Hexadecimal 0x212F18

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 1,901 3,802 7,604 15,208 20,911 24,713 41,822 49,426 83,644 98,852 167,288 197,704 271,843 543,686 1,087,372 2,174,744

Collatz Trajectory (42 steps to reach 1)

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

2,174,744 1,087,372 543,686 271,843 815,530 407,765 1,223,296 611,648 305,824 152,912 76,456 38,228 19,114 9,557 28,672 14,336 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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