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Atlas › Integer Profiles › Node 2,014,056

2,014,056

23 × 32 × 11 × 2543
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 2543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,952,960
Proper Divisor Sum 3,938,904
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2014049 ← → #2014069

Radix Representation

Decimal 2014056
Binary 111101011101101101000 (21 bits)
Octal 0o7535550
Hexadecimal 0x1EBB68

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2,543 5,086 7,629 10,172 15,258 20,344 22,887 27,973 30,516 45,774 55,946 61,032 83,919 91,548 111,892 167,838 183,096 223,784 251,757 335,676 503,514 671,352 1,007,028 2,014,056

Collatz Trajectory (60 steps to reach 1)

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

2,014,056 1,007,028 503,514 251,757 755,272 377,636 188,818 94,409 283,228 141,614 70,807 212,422 106,211 318,634 159,317 477,952 238,976 119,488 59,744 29,872 14,936 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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