λ
Harmonic Matrix

565,490

2 × 5 × 193 × 293
Deficient Even Composite

565,490 has digital root 2. The neighboring primes are 565489 and 565507; its proper-divisor sum differs from the starting integer by -104,332.

Prime Factor Structure

Factorization String 2 × 5 × 193 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,026,648
Proper Divisor Sum 461,158
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #565489 ← → #565507

Radix Representation

Decimal 565490
Binary 10001010000011110010 (20 bits)
Octal 0o2120362
Hexadecimal 0x8A0F2

Divisor Catalog (16)

1 2 5 10 193 293 386 586 965 1,465 1,930 2,930 56,549 113,098 282,745 565,490

Collatz Trajectory (177 steps to reach 1)

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

565,490 282,745 848,236 424,118 212,059 636,178 318,089 954,268 477,134 238,567 715,702 357,851 1,073,554 536,777 1,610,332 805,166 402,583 1,207,750 603,875 1,811,626 905,813 2,717,440 1,358,720 679,360 339,680 169,840 84,920 42,460 21,230 10,615 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598

More profiles

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