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Atlas › Integer Profiles › Node 1,123,740

1,123,740

22 × 33 × 5 × 2081
Abundant Even Composite

1,123,740 factors as 2^2 × 3^3 × 5 × 2081. Its 48 positive divisors give a proper-divisor sum of 2,374,020, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 2081
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,497,760
Proper Divisor Sum 2,374,020
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1123739 ← → #1123741

Radix Representation

Decimal 1123740
Binary 100010010010110011100 (21 bits)
Octal 0o4222634
Hexadecimal 0x11259C

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2,081 4,162 6,243 8,324 10,405 12,486 18,729 20,810 24,972 31,215 37,458 41,620 56,187 62,430 74,916 93,645 112,374 124,860 187,290 224,748 280,935 374,580 561,870 1,123,740

Collatz Trajectory (209 steps to reach 1)

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

1,123,740 561,870 280,935 842,806 421,403 1,264,210 632,105 1,896,316 948,158 474,079 1,422,238 711,119 2,133,358 1,066,679 3,200,038 1,600,019 4,800,058 2,400,029 7,200,088 3,600,044 1,800,022 900,011 2,700,034 1,350,017 4,050,052 2,025,026 1,012,513 3,037,540 1,518,770 759,385 2,278,156 1,139,078 569,539 1,708,618 854,309 2,562,928 1,281,464 640,732 320,366 160,183 480,550 240,275 720,826 360,413 1,081,240 540,620 270,310 135,155 405,466 202,733 608,200 304,100 152,050 76,025 228,076 114,038 57,019 171,058 85,529 256,588

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