λ
Harmonic Matrix

8,589,362

2 × 4294681
Deficient Even Composite

8,589,362 has digital root 5. The neighboring primes are 8589359 and 8589401; its proper-divisor sum differs from the starting integer by -4,294,678.

Prime Factor Structure

Factorization String 2 × 4294681
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,884,046
Proper Divisor Sum 4,294,684
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8589359 ← → #8589401

Radix Representation

Decimal 8589362
Binary 100000110001000000110010 (24 bits)
Octal 0o40610062
Hexadecimal 0x831032

Divisor Catalog (4)

1 2 4,294,681 8,589,362

Collatz Trajectory (155 steps to reach 1)

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

8,589,362 4,294,681 12,884,044 6,442,022 3,221,011 9,663,034 4,831,517 14,494,552 7,247,276 3,623,638 1,811,819 5,435,458 2,717,729 8,153,188 4,076,594 2,038,297 6,114,892 3,057,446 1,528,723 4,586,170 2,293,085 6,879,256 3,439,628 1,719,814 859,907 2,579,722 1,289,861 3,869,584 1,934,792 967,396 483,698 241,849 725,548 362,774 181,387 544,162 272,081 816,244 408,122 204,061 612,184 306,092 153,046 76,523 229,570 114,785 344,356 172,178 86,089 258,268 129,134 64,567 193,702 96,851 290,554 145,277 435,832 217,916 108,958 54,479

More profiles

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