λ
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1,785,530

2 × 5 × 29 × 47 × 131
Deficient Even Composite

1,785,530 factors as 2 × 5 × 29 × 47 × 131. Its 32 positive divisors give a proper-divisor sum of 1,635,910, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 47 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,421,440
Proper Divisor Sum 1,635,910
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1785503 ← → #1785541

Radix Representation

Decimal 1785530
Binary 110110011111010111010 (21 bits)
Octal 0o6637272
Hexadecimal 0x1B3EBA

Divisor Catalog (32)

1 2 5 10 29 47 58 94 131 145 235 262 290 470 655 1,310 1,363 2,726 3,799 6,157 6,815 7,598 12,314 13,630 18,995 30,785 37,990 61,570 178,553 357,106 892,765 1,785,530

Collatz Trajectory (189 steps to reach 1)

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

1,785,530 892,765 2,678,296 1,339,148 669,574 334,787 1,004,362 502,181 1,506,544 753,272 376,636 188,318 94,159 282,478 141,239 423,718 211,859 635,578 317,789 953,368 476,684 238,342 119,171 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330

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