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Atlas › Integer Profiles › Node 11,623,288

11,623,288

23 × 19 × 47 × 1627
Abundant Even Composite

11,623,288 factors as 2^3 × 19 × 47 × 1627. Its 32 positive divisors give a proper-divisor sum of 11,819,912, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 47 × 1627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,443,200
Proper Divisor Sum 11,819,912
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11623273 ← → #11623289

Radix Representation

Decimal 11623288
Binary 101100010101101101111000 (24 bits)
Octal 0o54255570
Hexadecimal 0xB15B78

Divisor Catalog (32)

1 2 4 8 19 38 47 76 94 152 188 376 893 1,627 1,786 3,254 3,572 6,508 7,144 13,016 30,913 61,826 76,469 123,652 152,938 247,304 305,876 611,752 1,452,911 2,905,822 5,811,644 11,623,288

Collatz Trajectory (215 steps to reach 1)

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

11,623,288 5,811,644 2,905,822 1,452,911 4,358,734 2,179,367 6,538,102 3,269,051 9,807,154 4,903,577 14,710,732 7,355,366 3,677,683 11,033,050 5,516,525 16,549,576 8,274,788 4,137,394 2,068,697 6,206,092 3,103,046 1,551,523 4,654,570 2,327,285 6,981,856 3,490,928 1,745,464 872,732 436,366 218,183 654,550 327,275 981,826 490,913 1,472,740 736,370 368,185 1,104,556 552,278 276,139 828,418 414,209 1,242,628 621,314 310,657 931,972 465,986 232,993 698,980 349,490 174,745 524,236 262,118 131,059 393,178 196,589 589,768 294,884 147,442 73,721

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