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11,713,624

23 × 13 × 23 × 59 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 59 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,401,600
Proper Divisor Sum 13,687,976
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11713621 ← → #11713649

Radix Representation

Decimal 11713624
Binary 101100101011110001011000 (24 bits)
Octal 0o54536130
Hexadecimal 0xB2BC58

Divisor Catalog (60 of 64)

1 2 4 8 13 23 26 46 52 59 83 92 104 118 166 184 236 299 332 472 598 664 767 1,079 1,196 1,357 1,534 1,909 2,158 2,392 2,714 3,068 3,818 4,316 4,897 5,428 6,136 7,636 8,632 9,794 10,856 15,272 17,641 19,588 24,817 35,282 39,176 49,634 63,661 70,564 99,268 112,631 127,322 141,128 198,536 225,262 254,644 450,524 509,288 901,048

Collatz Trajectory (127 steps to reach 1)

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

11,713,624 5,856,812 2,928,406 1,464,203 4,392,610 2,196,305 6,588,916 3,294,458 1,647,229 4,941,688 2,470,844 1,235,422 617,711 1,853,134 926,567 2,779,702 1,389,851 4,169,554 2,084,777 6,254,332 3,127,166 1,563,583 4,690,750 2,345,375 7,036,126 3,518,063 10,554,190 5,277,095 15,831,286 7,915,643 23,746,930 11,873,465 35,620,396 17,810,198 8,905,099 26,715,298 13,357,649 40,072,948 20,036,474 10,018,237 30,054,712 15,027,356 7,513,678 3,756,839 11,270,518 5,635,259 16,905,778 8,452,889 25,358,668 12,679,334 6,339,667 19,019,002 9,509,501 28,528,504 14,264,252 7,132,126 3,566,063 10,698,190 5,349,095 16,047,286

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