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Atlas › Integer Profiles › Node 11,563,002

11,563,002

2 × 32 × 112 × 5309
Abundant Even Composite

11,563,002 factors as 2 × 3^2 × 11^2 × 5309. Its 36 positive divisors give a proper-divisor sum of 15,979,968, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11^2 × 5309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 27,542,970
Proper Divisor Sum 15,979,968
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11562983 ← → #11563003

Radix Representation

Decimal 11563002
Binary 101100000110111111111010 (24 bits)
Octal 0o54067772
Hexadecimal 0xB06FFA

Divisor Catalog (36)

1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1,089 2,178 5,309 10,618 15,927 31,854 47,781 58,399 95,562 116,798 175,197 350,394 525,591 642,389 1,051,182 1,284,778 1,927,167 3,854,334 5,781,501 11,563,002

Collatz Trajectory (153 steps to reach 1)

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

11,563,002 5,781,501 17,344,504 8,672,252 4,336,126 2,168,063 6,504,190 3,252,095 9,756,286 4,878,143 14,634,430 7,317,215 21,951,646 10,975,823 32,927,470 16,463,735 49,391,206 24,695,603 74,086,810 37,043,405 111,130,216 55,565,108 27,782,554 13,891,277 41,673,832 20,836,916 10,418,458 5,209,229 15,627,688 7,813,844 3,906,922 1,953,461 5,860,384 2,930,192 1,465,096 732,548 366,274 183,137 549,412 274,706 137,353 412,060 206,030 103,015 309,046 154,523 463,570 231,785 695,356 347,678 173,839 521,518 260,759 782,278 391,139 1,173,418 586,709 1,760,128 880,064 440,032

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