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Atlas › Integer Profiles › Node 11,201,596

11,201,596

22 × 72 × 67 × 853
Abundant Even Composite

11,201,596 factors as 2^2 × 7^2 × 67 × 853. Its 36 positive divisors give a proper-divisor sum of 11,969,132, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 67 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,170,728
Proper Divisor Sum 11,969,132
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #11201591 ← → #11201609

Radix Representation

Decimal 11201596
Binary 101010101110110000111100 (24 bits)
Octal 0o52566074
Hexadecimal 0xAAEC3C

Divisor Catalog (36)

1 2 4 7 14 28 49 67 98 134 196 268 469 853 938 1,706 1,876 3,283 3,412 5,971 6,566 11,942 13,132 23,884 41,797 57,151 83,594 114,302 167,188 228,604 400,057 800,114 1,600,228 2,800,399 5,600,798 11,201,596

Collatz Trajectory (96 steps to reach 1)

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

11,201,596 5,600,798 2,800,399 8,401,198 4,200,599 12,601,798 6,300,899 18,902,698 9,451,349 28,354,048 14,177,024 7,088,512 3,544,256 1,772,128 886,064 443,032 221,516 110,758 55,379 166,138 83,069 249,208 124,604 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137 315,412 157,706 78,853 236,560 118,280 59,140 29,570 14,785 44,356 22,178 11,089 33,268 16,634 8,317 24,952 12,476 6,238 3,119 9,358 4,679 14,038 7,019 21,058 10,529 31,588 15,794 7,897 23,692 11,846

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