λ
Harmonic Matrix

884,360

23 × 5 × 22109
Abundant Even Composite

884,360 has digital root 2. The neighboring primes are 884353 and 884363; its proper-divisor sum differs from the starting integer by 221,180.

Prime Factor Structure

Factorization String 2^3 × 5 × 22109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,989,900
Proper Divisor Sum 1,105,540
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #884353 ← → #884363

Radix Representation

Decimal 884360
Binary 11010111111010001000 (20 bits)
Octal 0o3277210
Hexadecimal 0xD7E88

Divisor Catalog (16)

1 2 4 5 8 10 20 40 22,109 44,218 88,436 110,545 176,872 221,090 442,180 884,360

Collatz Trajectory (126 steps to reach 1)

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

884,360 442,180 221,090 110,545 331,636 165,818 82,909 248,728 124,364 62,182 31,091 93,274 46,637 139,912 69,956 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615

More profiles

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