λ
Harmonic Matrix

4,264,446

2 × 3 × 439 × 1619
Abundant Even Composite

4,264,446 has digital root 3. The neighboring primes are 4264409 and 4264471; its proper-divisor sum differs from the starting integer by 24,708.

Prime Factor Structure

Factorization String 2 × 3 × 439 × 1619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,553,600
Proper Divisor Sum 4,289,154
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4264409 ← → #4264471

Radix Representation

Decimal 4264446
Binary 10000010001000111111110 (23 bits)
Octal 0o20210776
Hexadecimal 0x4111FE

Divisor Catalog (16)

1 2 3 6 439 878 1,317 1,619 2,634 3,238 4,857 9,714 710,741 1,421,482 2,132,223 4,264,446

Collatz Trajectory (260 steps to reach 1)

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

4,264,446 2,132,223 6,396,670 3,198,335 9,595,006 4,797,503 14,392,510 7,196,255 21,588,766 10,794,383 32,383,150 16,191,575 48,574,726 24,287,363 72,862,090 36,431,045 109,293,136 54,646,568 27,323,284 13,661,642 6,830,821 20,492,464 10,246,232 5,123,116 2,561,558 1,280,779 3,842,338 1,921,169 5,763,508 2,881,754 1,440,877 4,322,632 2,161,316 1,080,658 540,329 1,620,988 810,494 405,247 1,215,742 607,871 1,823,614 911,807 2,735,422 1,367,711 4,103,134 2,051,567 6,154,702 3,077,351 9,232,054 4,616,027 13,848,082 6,924,041 20,772,124 10,386,062 5,193,031 15,579,094 7,789,547 23,368,642 11,684,321 35,052,964

More profiles

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