λ
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Atlas › Integer Profiles › Node 21,367,324

21,367,324

22 × 11 × 19 × 61 × 419
Abundant Even Composite

21,367,324 factors as 2^2 × 11 × 19 × 61 × 419. Its 48 positive divisors give a proper-divisor sum of 22,379,876, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 61 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 43,747,200
Proper Divisor Sum 22,379,876
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #21367309 ← → #21367331

Radix Representation

Decimal 21367324
Binary 1010001100000101000011100 (25 bits)
Octal 0o121405034
Hexadecimal 0x1460A1C

Divisor Catalog (48)

1 2 4 11 19 22 38 44 61 76 122 209 244 418 419 671 836 838 1,159 1,342 1,676 2,318 2,684 4,609 4,636 7,961 9,218 12,749 15,922 18,436 25,498 25,559 31,844 50,996 51,118 87,571 102,236 175,142 281,149 350,284 485,621 562,298 971,242 1,124,596 1,942,484 5,341,831 10,683,662 21,367,324

Collatz Trajectory (159 steps to reach 1)

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

21,367,324 10,683,662 5,341,831 16,025,494 8,012,747 24,038,242 12,019,121 36,057,364 18,028,682 9,014,341 27,043,024 13,521,512 6,760,756 3,380,378 1,690,189 5,070,568 2,535,284 1,267,642 633,821 1,901,464 950,732 475,366 237,683 713,050 356,525 1,069,576 534,788 267,394 133,697 401,092 200,546 100,273 300,820 150,410 75,205 225,616 112,808 56,404 28,202 14,101 42,304 21,152 10,576 5,288 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107

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