λ
Harmonic Matrix

920,646

2 × 34 × 5683
Abundant Even Composite

920,646 has digital root 9. The neighboring primes are 920641 and 920651; its proper-divisor sum differs from the starting integer by 222,000.

Prime Factor Structure

Factorization String 2 × 3^4 × 5683
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,063,292
Proper Divisor Sum 1,142,646
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #920641 ← → #920651

Radix Representation

Decimal 920646
Binary 11100000110001000110 (20 bits)
Octal 0o3406106
Hexadecimal 0xE0C46

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 5,683 11,366 17,049 34,098 51,147 102,294 153,441 306,882 460,323 920,646

Collatz Trajectory (201 steps to reach 1)

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

920,646 460,323 1,380,970 690,485 2,071,456 1,035,728 517,864 258,932 129,466 64,733 194,200 97,100 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724 4,862 2,431 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974

More profiles

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