λ
Harmonic Matrix

897,162

2 × 3 × 7 × 41 × 521
Abundant Even Composite

897,162 has digital root 6. The neighboring primes are 897157 and 897163; its proper-divisor sum differs from the starting integer by 310,380.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,104,704
Proper Divisor Sum 1,207,542
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #897157 ← → #897163

Radix Representation

Decimal 897162
Binary 11011011000010001010 (20 bits)
Octal 0o3330212
Hexadecimal 0xDB08A

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 521 574 861 1,042 1,563 1,722 3,126 3,647 7,294 10,941 21,361 21,882 42,722 64,083 128,166 149,527 299,054 448,581 897,162

Collatz Trajectory (38 steps to reach 1)

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

897,162 448,581 1,345,744 672,872 336,436 168,218 84,109 252,328 126,164 63,082 31,541 94,624 47,312 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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