λ
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Atlas › Integer Profiles › Node 2,138,024

2,138,024

23 × 7 × 73 × 523
Abundant Even Composite

2,138,024 factors as 2^3 × 7 × 73 × 523. Its 32 positive divisors give a proper-divisor sum of 2,515,096, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 73 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,653,120
Proper Divisor Sum 2,515,096
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2137999 ← → #2138029

Radix Representation

Decimal 2138024
Binary 1000001001111110101000 (22 bits)
Octal 0o10117650
Hexadecimal 0x209FA8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 73 146 292 511 523 584 1,022 1,046 2,044 2,092 3,661 4,088 4,184 7,322 14,644 29,288 38,179 76,358 152,716 267,253 305,432 534,506 1,069,012 2,138,024

Collatz Trajectory (241 steps to reach 1)

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

2,138,024 1,069,012 534,506 267,253 801,760 400,880 200,440 100,220 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376

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