λ
Harmonic Matrix

4,382,990

2 × 5 × 43 × 10193
Deficient Even Composite

4,382,990 has digital root 8. The neighboring primes are 4382953 and 4383011; its proper-divisor sum differs from the starting integer by -692,332.

Prime Factor Structure

Factorization String 2 × 5 × 43 × 10193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,073,648
Proper Divisor Sum 3,690,658
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4382953 ← → #4383011

Radix Representation

Decimal 4382990
Binary 10000101110000100001110 (23 bits)
Octal 0o20560416
Hexadecimal 0x42E10E

Divisor Catalog (16)

1 2 5 10 43 86 215 430 10,193 20,386 50,965 101,930 438,299 876,598 2,191,495 4,382,990

Collatz Trajectory (167 steps to reach 1)

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

4,382,990 2,191,495 6,574,486 3,287,243 9,861,730 4,930,865 14,792,596 7,396,298 3,698,149 11,094,448 5,547,224 2,773,612 1,386,806 693,403 2,080,210 1,040,105 3,120,316 1,560,158 780,079 2,340,238 1,170,119 3,510,358 1,755,179 5,265,538 2,632,769 7,898,308 3,949,154 1,974,577 5,923,732 2,961,866 1,480,933 4,442,800 2,221,400 1,110,700 555,350 277,675 833,026 416,513 1,249,540 624,770 312,385 937,156 468,578 234,289 702,868 351,434 175,717 527,152 263,576 131,788 65,894 32,947 98,842 49,421 148,264 74,132 37,066 18,533 55,600 27,800

More profiles

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