λ
Math Directory

1,018,930

2 × 5 × 11 × 59 × 157
Abundant Even Composite

1,018,930 factors as 2 × 5 × 11 × 59 × 157. Its 32 positive divisors give a proper-divisor sum of 1,028,750, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 59 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,047,680
Proper Divisor Sum 1,028,750
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1018907 ← → #1018931

Radix Representation

Decimal 1018930
Binary 11111000110000110010 (20 bits)
Octal 0o3706062
Hexadecimal 0xF8C32

Divisor Catalog (32)

1 2 5 10 11 22 55 59 110 118 157 295 314 590 649 785 1,298 1,570 1,727 3,245 3,454 6,490 8,635 9,263 17,270 18,526 46,315 92,630 101,893 203,786 509,465 1,018,930

Collatz Trajectory (227 steps to reach 1)

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

1,018,930 509,465 1,528,396 764,198 382,099 1,146,298 573,149 1,719,448 859,724 429,862 214,931 644,794 322,397 967,192 483,596 241,798 120,899 362,698 181,349 544,048 272,024 136,012 68,006 34,003 102,010 51,005 153,016 76,508 38,254 19,127 57,382 28,691 86,074 43,037 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466

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