λ
Harmonic Matrix

492,045

3 × 5 × 32803
Deficient Odd Composite

492,045 has digital root 6. The neighboring primes are 492029 and 492047; its proper-divisor sum differs from the starting integer by -196,794.

Prime Factor Structure

Factorization String 3 × 5 × 32803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 787,296
Proper Divisor Sum 295,251
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #492029 ← → #492047

Radix Representation

Decimal 492045
Binary 1111000001000001101 (19 bits)
Octal 0o1701015
Hexadecimal 0x7820D

Divisor Catalog (8)

1 3 5 15 32,803 98,409 164,015 492,045

Collatz Trajectory (63 steps to reach 1)

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

492,045 1,476,136 738,068 369,034 184,517 553,552 276,776 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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