λ
Harmonic Matrix

858,522

2 × 3 × 7 × 20441
Abundant Even Composite

858,522 has digital root 3. The neighboring primes are 858503 and 858527; its proper-divisor sum differs from the starting integer by 245,388.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 20441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,962,432
Proper Divisor Sum 1,103,910
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #858503 ← → #858527

Radix Representation

Decimal 858522
Binary 11010001100110011010 (20 bits)
Octal 0o3214632
Hexadecimal 0xD199A

Divisor Catalog (16)

1 2 3 6 7 14 21 42 20,441 40,882 61,323 122,646 143,087 286,174 429,261 858,522

Collatz Trajectory (82 steps to reach 1)

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

858,522 429,261 1,287,784 643,892 321,946 160,973 482,920 241,460 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604 15,302 7,651 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152

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