λ
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Atlas › Integer Profiles › Node 1,120,086

1,120,086

2 × 32 × 11 × 5657
Abundant Even Composite

1,120,086 factors as 2 × 3^2 × 11 × 5657. Its 24 positive divisors give a proper-divisor sum of 1,527,858, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 5657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,647,944
Proper Divisor Sum 1,527,858
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1120081 ← → #1120087

Radix Representation

Decimal 1120086
Binary 100010001011101010110 (21 bits)
Octal 0o4213526
Hexadecimal 0x111756

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 5,657 11,314 16,971 33,942 50,913 62,227 101,826 124,454 186,681 373,362 560,043 1,120,086

Collatz Trajectory (59 steps to reach 1)

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

1,120,086 560,043 1,680,130 840,065 2,520,196 1,260,098 630,049 1,890,148 945,074 472,537 1,417,612 708,806 354,403 1,063,210 531,605 1,594,816 797,408 398,704 199,352 99,676 49,838 24,919 74,758 37,379 112,138 56,069 168,208 84,104 42,052 21,026 10,513 31,540 15,770 7,885 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

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