λ
Harmonic Matrix

2,419,141

257 × 9413
Deficient Odd Composite

2,419,141 has digital root 4. The neighboring primes are 2419127 and 2419159; its proper-divisor sum differs from the starting integer by -2,409,470.

Prime Factor Structure

Factorization String 257 × 9413
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,428,812
Proper Divisor Sum 9,671
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2419127 ← → #2419159

Radix Representation

Decimal 2419141
Binary 1001001110100111000101 (22 bits)
Octal 0o11164705
Hexadecimal 0x24E9C5

Divisor Catalog (4)

1 257 9,413 2,419,141

Collatz Trajectory (68 steps to reach 1)

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

2,419,141 7,257,424 3,628,712 1,814,356 907,178 453,589 1,360,768 680,384 340,192 170,096 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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